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38308864 = 2101119179
BaseRepresentation
bin1001001000100…
…0110000000000
32200002021212211
42102020300000
534301340424
63445031504
7643422436
oct222106000
980067784
1038308864
111a696020
12109b5594
137c23b89
145132d56
15356ab94
hex2488c00

38308864 has 88 divisors (see below), whose sum is σ = 88430400. Its totient is φ = 16404480.

The previous prime is 38308859. The next prime is 38308873. The reversal of 38308864 is 46880383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213927 + ... + 214105.

Almost surely, 238308864 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 38308864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44215200).

38308864 is an abundant number, since it is smaller than the sum of its proper divisors (50121536).

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

38308864 is a wasteful number, since it uses less digits than its factorization.

38308864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 38308864 is about 6189.4154812874. The cubic root of 38308864 is about 337.1059551134.

The spelling of 38308864 in words is "thirty-eight million, three hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 179 209 256 304 352 358 418 512 608 704 716 836 1024 1216 1408 1432 1672 1969 2432 2816 2864 3344 3401 3938 4864 5632 5728 6688 6802 7876 9728 11264 11456 13376 13604 15752 19456 22912 26752 27208 31504 37411 45824 53504 54416 63008 74822 91648 107008 108832 126016 149644 183296 214016 217664 252032 299288 435328 504064 598576 870656 1008128 1197152 1741312 2016256 2394304 3482624 4788608 9577216 19154432 38308864