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38123264 = 281371087
BaseRepresentation
bin1001000101101…
…1011100000000
32122201212021202
42101123130000
534224421024
63441040332
7642020354
oct221333400
978655252
1038123264
111a579633
12109260a8
137b8a55a
1450c5464
153530bae
hex245b700

38123264 has 36 divisors (see below), whose sum is σ = 76723584. Its totient is φ = 18905088.

The previous prime is 38123257. The next prime is 38123297. The reversal of 38123264 is 46232183.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34529 + ... + 35615.

Almost surely, 238123264 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 38123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38361792).

38123264 is an abundant number, since it is smaller than the sum of its proper divisors (38600320).

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

38123264 is a wasteful number, since it uses less digits than its factorization.

38123264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1226 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

The square root of 38123264 is about 6174.4039388430. The cubic root of 38123264 is about 336.5606663426.

The spelling of 38123264 in words is "thirty-eight million, one hundred twenty-three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 548 1087 1096 2174 2192 4348 4384 8696 8768 17392 17536 34784 35072 69568 139136 148919 278272 297838 595676 1191352 2382704 4765408 9530816 19061632 38123264