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38797056 = 28341871
BaseRepresentation
bin1001001111111…
…1111100000000
32201000002120000
42103333330000
534413001211
63503320000
7650524644
oct223777400
981002500
1038797056
111a999891
1210bb0000
13806514c
14521cc24
153615656
hex24fff00

38797056 has 90 divisors (see below), whose sum is σ = 115747632. Its totient is φ = 12925440.

The previous prime is 38797049. The next prime is 38797117. The reversal of 38797056 is 65079783.

It is a happy number.

It is a super-3 number, since 3×387970563 (a number of 24 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19801 + ... + 21671.

Almost surely, 238797056 is an apocalyptic number.

38797056 is a gapful number since it is divisible by the number (36) 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 38797056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57873816).

38797056 is an abundant number, since it is smaller than the sum of its proper divisors (76950576).

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

38797056 is an equidigital number, since it uses as much as digits as its factorization.

38797056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 38797056 is about 6228.7282811181. The cubic root of 38797056 is about 338.5318936601.

The spelling of 38797056 in words is "thirty-eight million, seven hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 1871 2304 2592 3456 3742 5184 5613 6912 7484 10368 11226 14968 16839 20736 22452 29936 33678 44904 50517 59872 67356 89808 101034 119744 134712 151551 179616 202068 239488 269424 303102 359232 404136 478976 538848 606204 718464 808272 1077696 1212408 1436928 1616544 2155392 2424816 3233088 4310784 4849632 6466176 9699264 12932352 19398528 38797056