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38123568 = 2433721801
BaseRepresentation
bin1001000101101…
…1100000110000
32122201212201000
42101123200300
534224423233
63441042000
7642021300
oct221334060
978655630
1038123568
111a57988a
1210926300
137b8a732
1450c5600
153530d13
hex245b830

38123568 has 120 divisors (see below), whose sum is σ = 127365360. Its totient is φ = 10886400.

The previous prime is 38123531. The next prime is 38123573. The reversal of 38123568 is 86532183.

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

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, 20268 + ... + 22068.

It is an arithmetic number, because the mean of its divisors is an integer number (1061378).

Almost surely, 238123568 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 38123568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63682680).

38123568 is an abundant number, since it is smaller than the sum of its proper divisors (89241792).

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

38123568 is a wasteful number, since it uses less digits than its factorization.

38123568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1813 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 38123568 is about 6174.4285565548. The cubic root of 38123568 is about 336.5615609334.

The spelling of 38123568 in words is "thirty-eight million, one hundred twenty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 1801 2352 2646 3024 3528 3602 5292 5403 7056 7204 10584 10806 12607 14408 16209 21168 21612 25214 28816 32418 37821 43224 48627 50428 64836 75642 86448 88249 97254 100856 113463 129672 151284 176498 194508 201712 226926 259344 264747 302568 340389 352996 389016 453852 529494 605136 680778 705992 778032 794241 907704 1058988 1361556 1411984 1588482 1815408 2117976 2382723 2723112 3176964 4235952 4765446 5446224 6353928 9530892 12707856 19061784 38123568