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38365056 = 273317653
BaseRepresentation
bin1001001001011…
…0011110000000
32200012010222000
42102112132000
534310140211
63450144000
7644045322
oct222263600
980163860
1038365056
111a724264
1210a22000
137c43622
145149612
15357c656
hex2496780

38365056 has 128 divisors (see below), whose sum is σ = 120074400. Its totient is φ = 12017664.

The previous prime is 38365037. The next prime is 38365087. The reversal of 38365056 is 65056383.

It is a tau number, because it is divible by the number of its divisors (128).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 38365056.

It is a congruent number.

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, 58426 + ... + 59078.

Almost surely, 238365056 is an apocalyptic number.

38365056 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 38365056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60037200).

38365056 is an abundant number, since it is smaller than the sum of its proper divisors (81709344).

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

38365056 is a wasteful number, since it uses less digits than its factorization.

38365056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 38365056 is about 6193.9531803203. The cubic root of 38365056 is about 337.2706985662.

The spelling of 38365056 in words is "thirty-eight million, three hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 653 816 864 918 1088 1152 1224 1306 1632 1728 1836 1959 2176 2448 2612 3264 3456 3672 3918 4896 5224 5877 6528 7344 7836 9792 10448 11101 11754 14688 15672 17631 19584 20896 22202 23508 29376 31344 33303 35262 41792 44404 47016 58752 62688 66606 70524 83584 88808 94032 99909 125376 133212 141048 177616 188064 199818 250752 266424 282096 299727 355232 376128 399636 532848 564192 599454 710464 752256 799272 1065696 1128384 1198908 1420928 1598544 2131392 2256768 2397816 3197088 4262784 4795632 6394176 9591264 12788352 19182528 38365056