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38949856 = 25111723283
BaseRepresentation
bin1001010010010…
…1001111100000
32201021212011021
42110211033200
534432343411
63510455224
7652032301
oct224451740
981255137
1038949856
111aa93670
1211064514
1380b986a
14525c7a8
153645a71
hex25253e0

38949856 has 96 divisors (see below), whose sum is σ = 92752128. Its totient is φ = 15882240.

The previous prime is 38949851. The next prime is 38949881. The reversal of 38949856 is 65894983.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38949851) 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, 137491 + ... + 137773.

It is an arithmetic number, because the mean of its divisors is an integer number (966168).

Almost surely, 238949856 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 38949856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46376064).

38949856 is an abundant number, since it is smaller than the sum of its proper divisors (53802272).

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

38949856 is a wasteful number, since it uses less digits than its factorization.

38949856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 52.

The square root of 38949856 is about 6240.9819740166. The cubic root of 38949856 is about 338.9757410207.

The spelling of 38949856 in words is "thirty-eight million, nine hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 23 32 34 44 46 68 88 92 136 176 184 187 253 272 283 352 368 374 391 506 544 566 736 748 782 1012 1132 1496 1564 2024 2264 2992 3113 3128 4048 4301 4528 4811 5984 6226 6256 6509 8096 8602 9056 9622 12452 12512 13018 17204 19244 24904 26036 34408 38488 49808 52072 52921 68816 71599 76976 99616 104144 105842 110653 137632 143198 153952 208288 211684 221306 286396 423368 442612 572792 846736 885224 1145584 1217183 1693472 1770448 2291168 2434366 3540896 4868732 9737464 19474928 38949856