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38915072 = 21076189
BaseRepresentation
bin1001010001110…
…0110000000000
32201020002102222
42110130300000
534430240242
63510030212
7651526010
oct224346000
981202388
1038915072
111aa6a519
1211048368
1380a6a91
14524dc40
15363a5d2
hex251cc00

38915072 has 88 divisors (see below), whose sum is σ = 91378080. Its totient is φ = 16220160.

The previous prime is 38915069. The next prime is 38915077. The reversal of 38915072 is 27051983.

It is not an unprimeable number, because it can be changed into a prime (38915077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437204 + ... + 437292.

Almost surely, 238915072 is an apocalyptic number.

38915072 is a gapful number since it is divisible by the number (32) 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 38915072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45689040).

38915072 is an abundant number, since it is smaller than the sum of its proper divisors (52463008).

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

38915072 is an equidigital number, since it uses as much as digits as its factorization.

38915072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 38915072 is about 6238.1946106225. The cubic root of 38915072 is about 338.8748040291.

The spelling of 38915072 in words is "thirty-eight million, nine hundred fifteen thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 89 112 122 128 178 224 244 256 356 427 448 488 512 623 712 854 896 976 1024 1246 1424 1708 1792 1952 2492 2848 3416 3584 3904 4984 5429 5696 6832 7168 7808 9968 10858 11392 13664 15616 19936 21716 22784 27328 31232 38003 39872 43432 45568 54656 62464 76006 79744 86864 91136 109312 152012 159488 173728 218624 304024 318976 347456 437248 608048 637952 694912 1216096 1389824 2432192 2779648 4864384 5559296 9728768 19457536 38915072