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38161056 = 2531767349
BaseRepresentation
bin1001000110010…
…0101010100000
32122210210010110
42101210222200
534232123211
63441531320
7642235503
oct221445240
978723113
1038161056
111a5a4a6a
1210943b40
137ba180b
1450d513a
15353bea6
hex2464aa0

38161056 has 96 divisors (see below), whose sum is σ = 107956800. Its totient is φ = 11759616.

The previous prime is 38161033. The next prime is 38161069. The reversal of 38161056 is 65016183.

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

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109170 + ... + 109518.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 238161056 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 38161056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53978400).

38161056 is an abundant number, since it is smaller than the sum of its proper divisors (69795744).

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

38161056 is a wasteful number, since it uses less digits than its factorization.

38161056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 38161056 is about 6177.4635571568. The cubic root of 38161056 is about 336.6718416789.

The spelling of 38161056 in words is "thirty-eight million, one hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 67 68 96 102 134 136 201 204 268 272 349 402 408 536 544 698 804 816 1047 1072 1139 1396 1608 1632 2094 2144 2278 2792 3216 3417 4188 4556 5584 5933 6432 6834 8376 9112 11168 11866 13668 16752 17799 18224 23383 23732 27336 33504 35598 36448 46766 47464 54672 70149 71196 93532 94928 109344 140298 142392 187064 189856 280596 284784 374128 397511 561192 569568 748256 795022 1122384 1192533 1590044 2244768 2385066 3180088 4770132 6360176 9540264 12720352 19080528 38161056