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145354792 = 231143107359
BaseRepresentation
bin10001010100111…
…11000000101000
3101010111210021211
420222133000220
5244202323132
622231242504
73413331622
oct1052370050
9333453254
10145354792
117505a230
1240819434
132416376b
1415439c12
15cb63147
hex8a9f028

145354792 has 64 divisors (see below), whose sum is σ = 307929600. Its totient is φ = 63752640.

The previous prime is 145354789. The next prime is 145354793. The reversal of 145354792 is 297453541.

It is a happy number.

It is a super-2 number, since 2×1453547922 = 42256031114726528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (145354793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404709 + ... + 405067.

It is an arithmetic number, because the mean of its divisors is an integer number (4811400).

Almost surely, 2145354792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145354792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153964800).

145354792 is an abundant number, since it is smaller than the sum of its proper divisors (162574808).

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

145354792 is a wasteful number, since it uses less digits than its factorization.

145354792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 522 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The square root of 145354792 is about 12056.3175140671. The cubic root of 145354792 is about 525.7869281145.

The spelling of 145354792 in words is "one hundred forty-five million, three hundred fifty-four thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 22 43 44 86 88 107 172 214 344 359 428 473 718 856 946 1177 1436 1892 2354 2872 3784 3949 4601 4708 7898 9202 9416 15437 15796 18404 30874 31592 36808 38413 50611 61748 76826 101222 123496 153652 169807 202444 307304 339614 404888 422543 679228 845086 1358456 1651759 1690172 3303518 3380344 6607036 13214072 18169349 36338698 72677396 145354792