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30927264 = 253378707
BaseRepresentation
bin111010111111…
…0100110100000
32011012021020020
41311332212200
530404133024
63022513440
7523606644
oct165764640
964167206
1030927264
1116504125
12a435880
13653b074
144170c24
152aad979
hex1d7e9a0

30927264 has 48 divisors (see below), whose sum is σ = 83387808. Its totient is φ = 10029312.

The previous prime is 30927251. The next prime is 30927283. The reversal of 30927264 is 46272903.

It is a tau number, because it is divible by the number of its divisors (48).

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, 802 + ... + 7905.

It is an arithmetic number, because the mean of its divisors is an integer number (1737246).

Almost surely, 230927264 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 30927264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41693904).

30927264 is an abundant number, since it is smaller than the sum of its proper divisors (52460544).

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

30927264 is a wasteful number, since it uses less digits than its factorization.

30927264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8757 (or 8749 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 30927264 is about 5561.2286412267. The cubic root of 30927264 is about 313.8921830872.

The spelling of 30927264 in words is "thirty million, nine hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 8707 17414 26121 34828 52242 69656 104484 139312 208968 278624 322159 417936 644318 835872 966477 1288636 1932954 2577272 3865908 5154544 7731816 10309088 15463632 30927264