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1392450768 = 243243534243
BaseRepresentation
bin101001011111111…
…0001110011010000
310121001010211100200
41102333301303100
510322431411033
6350101015200
746335431142
oct12277616320
93531124320
101392450768
11655002965
1232a3b4500
13192637587
14d2d08c92
15823a3013
hex52ff1cd0

1392450768 has 120 divisors (see below), whose sum is σ = 4063748832. Its totient is φ = 444697344.

The previous prime is 1392450767. The next prime is 1392450769. The reversal of 1392450768 is 8670542931.

1392450768 is a `hidden beast` number, since 139 + 2 + 4 + 507 + 6 + 8 = 666.

1392450768 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1392450767) and next prime (1392450769).

1392450768 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1392450767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326055 + ... + 330297.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1392450768 = 2784901536, but 3⋅1392450768 = 4177352304 is not.

It is a vampire number, since it can be written as 2734850916 (with its own digits).

Almost surely, 21392450768 is an apocalyptic number.

1392450768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1392450768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031874416).

1392450768 is an abundant number, since it is smaller than the sum of its proper divisors (2671298064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1392450768 is a wasteful number, since it uses less digits than its factorization.

1392450768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4353 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1392450768 is about 37315.5566486687. The cubic root of 1392450768 is about 1116.6745449903.

The spelling of 1392450768 in words is "one billion, three hundred ninety-two million, four hundred fifty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 53 72 86 106 129 144 159 172 212 258 318 344 387 424 477 516 636 688 774 848 954 1032 1272 1548 1908 2064 2279 2544 3096 3816 4243 4558 6192 6837 7632 8486 9116 12729 13674 16972 18232 20511 25458 27348 33944 36464 38187 41022 50916 54696 67888 76374 82044 101832 109392 152748 164088 182449 203664 224879 305496 328176 364898 449758 547347 610992 674637 729796 899516 1094694 1349274 1459592 1642041 1799032 2023911 2189388 2698548 2919184 3284082 3598064 4047822 4378776 5397096 6568164 8095644 8757552 9669797 10794192 13136328 16191288 19339594 26272656 29009391 32382576 38679188 58018782 77358376 87028173 116037564 154716752 174056346 232075128 348112692 464150256 696225384 1392450768