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1413380448 = 25337322409
BaseRepresentation
bin101010000111110…
…0111100101100000
310122111112011111000
41110033213211200
510343311133243
6352125352000
750011351464
oct12417474540
93574464430
101413380448
116658a8717
12335408600
13196a84bbc
14d59d64a4
15841395d3
hex543e7960

1413380448 has 96 divisors (see below), whose sum is σ = 4179016800. Its totient is φ = 464652288.

The previous prime is 1413380447. The next prime is 1413380461. The reversal of 1413380448 is 8440833141.

1413380448 is a `hidden beast` number, since 1 + 4 + 133 + 80 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×14133804484 (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413380447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51868 + ... + 74276.

It is an arithmetic number, because the mean of its divisors is an integer number (43531425).

Almost surely, 21413380448 is an apocalyptic number.

1413380448 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 1413380448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089508400).

1413380448 is an abundant number, since it is smaller than the sum of its proper divisors (2765636352).

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

1413380448 is a wasteful number, since it uses less digits than its factorization.

1413380448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22501 (or 22487 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1413380448 is about 37594.9524271544. The cubic root of 1413380448 is about 1122.2415905744.

The spelling of 1413380448 in words is "one billion, four hundred thirteen million, three hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 96 108 144 146 216 219 288 292 432 438 584 657 864 876 1168 1314 1752 1971 2336 2628 3504 3942 5256 7008 7884 10512 15768 21024 22409 31536 44818 63072 67227 89636 134454 179272 201681 268908 358544 403362 537816 605043 717088 806724 1075632 1210086 1613448 1635857 2151264 2420172 3226896 3271714 4840344 4907571 6453792 6543428 9680688 9815142 13086856 14722713 19361376 19630284 26173712 29445426 39260568 44168139 52347424 58890852 78521136 88336278 117781704 157042272 176672556 235563408 353345112 471126816 706690224 1413380448