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38655264 = 253312419
BaseRepresentation
bin1001001101110…
…1010100100000
32200201220001110
42103131110200
534343432024
63500303320
7646364364
oct223352440
980656043
1038655264
111a9022aa
1210b41b40
13801574b
1451c32a4
1535d8629
hex24dd520

38655264 has 72 divisors (see below), whose sum is σ = 105099120. Its totient is φ = 12439680.

The previous prime is 38655241. The next prime is 38655271. The reversal of 38655264 is 46255683.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92047 + ... + 92465.

It is an arithmetic number, because the mean of its divisors is an integer number (1459710).

Almost surely, 238655264 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 38655264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52549560).

38655264 is an abundant number, since it is smaller than the sum of its proper divisors (66443856).

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

38655264 is a wasteful number, since it uses less digits than its factorization.

38655264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 455 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 38655264 is about 6217.3357638140. The cubic root of 38655264 is about 338.1189782230.

The spelling of 38655264 in words is "thirty-eight million, six hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 419 496 744 838 961 992 1257 1488 1676 1922 2514 2883 2976 3352 3844 5028 5766 6704 7688 10056 11532 12989 13408 15376 20112 23064 25978 30752 38967 40224 46128 51956 77934 92256 103912 155868 207824 311736 402659 415648 623472 805318 1207977 1246944 1610636 2415954 3221272 4831908 6442544 9663816 12885088 19327632 38655264