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38568672 = 2532133919
BaseRepresentation
bin1001001100100…
…0001011100000
32200120111021100
42103020023200
534333144142
63454354400
7645554052
oct223101340
980514240
1038568672
111a85323a
1210abba00
137cb51cc
14519d8d2
1535bcb4c
hex24c82e0

38568672 has 36 divisors (see below), whose sum is σ = 109680480. Its totient is φ = 12856128.

The previous prime is 38568671. The next prime is 38568697. The reversal of 38568672 is 27686583.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38568671) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66672 + ... + 67247.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 238568672 is an apocalyptic number.

38568672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38568672 is an abundant number, since it is smaller than the sum of its proper divisors (71111808).

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

38568672 is a wasteful number, since it uses less digits than its factorization.

38568672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133935 (or 133924 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 38568672 is about 6210.3681050321. The cubic root of 38568672 is about 337.8663150231.

The spelling of 38568672 in words is "thirty-eight million, five hundred sixty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 133919 267838 401757 535676 803514 1071352 1205271 1607028 2142704 2410542 3214056 4285408 4821084 6428112 9642168 12856224 19284336 38568672