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38916864 = 2832719127
BaseRepresentation
bin1001010001110…
…1001100000000
32201020011220100
42110131030000
534430314424
63510042400
7651534150
oct224351400
981204810
1038916864
111aa708a8
1211049400
1380a783c
145250760
15363adc9
hex251d300

38916864 has 216 divisors, whose sum is σ = 136048640. Its totient is φ = 10450944.

The previous prime is 38916847. The next prime is 38916887. The reversal of 38916864 is 46861983.

It is a nude number because it is divisible by every one of its digits.

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, 306369 + ... + 306495.

Almost surely, 238916864 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 38916864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68024320).

38916864 is an abundant number, since it is smaller than the sum of its proper divisors (97131776).

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

38916864 is a wasteful number, since it uses less digits than its factorization.

38916864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 38916864 is about 6238.3382402688. The cubic root of 38916864 is about 338.8800055641.

The spelling of 38916864 in words is "thirty-eight million, nine hundred sixteen thousand, eight hundred sixty-four".