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38059056 = 24327172221
BaseRepresentation
bin1001000100101…
…1110000110000
32122121121012200
42101023300300
534220342211
63435423200
7641332230
oct221136060
978547180
1038059056
111a535372
12108b4b00
137b67269
1450a9cc0
15351bb56
hex244bc30

38059056 has 120 divisors (see below), whose sum is σ = 128947104. Its totient is φ = 10229760.

The previous prime is 38059019. The next prime is 38059067. The reversal of 38059056 is 65095083.

It is a super-2 number, since 2×380590562 = 2896983487222272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38059056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16026 + ... + 18246.

Almost surely, 238059056 is an apocalyptic number.

38059056 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 38059056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64473552).

38059056 is an abundant number, since it is smaller than the sum of its proper divisors (90888048).

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

38059056 is a wasteful number, since it uses less digits than its factorization.

38059056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 38059056 is about 6169.2022174670. The cubic root of 38059056 is about 336.3716126581.

The spelling of 38059056 in words is "thirty-eight million, fifty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2221 2448 2856 4284 4442 5712 6663 8568 8884 13326 15547 17136 17768 19989 26652 31094 35536 37757 39978 46641 53304 62188 75514 79956 93282 106608 113271 124376 139923 151028 159912 186564 226542 248752 264299 279846 302056 319824 339813 373128 453084 528598 559692 604112 679626 746256 792897 906168 1057196 1119384 1359252 1585794 1812336 2114392 2238768 2378691 2718504 3171588 4228784 4757382 5437008 6343176 9514764 12686352 19029528 38059056