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30770592 = 2532511277
BaseRepresentation
bin111010101100…
…0010110100000
32010220022022120
41311120112200
530334124332
63015304240
7522355116
oct165302640
963808276
1030770592
1116407446
12a37b080
1364b4968
14412dab6
152a7c32c
hex1d585a0

30770592 has 48 divisors (see below), whose sum is σ = 81158112. Its totient is φ = 10208000.

The previous prime is 30770563. The next prime is 30770609. The reversal of 30770592 is 29507703.

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

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 7 ways as a sum of consecutive naturals, for example, 23458 + ... + 24734.

It is an arithmetic number, because the mean of its divisors is an integer number (1690794).

Almost surely, 230770592 is an apocalyptic number.

30770592 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 30770592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40579056).

30770592 is an abundant number, since it is smaller than the sum of its proper divisors (50387520).

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

30770592 is a wasteful number, since it uses less digits than its factorization.

30770592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 30770592 is about 5547.1246605787. The cubic root of 30770592 is about 313.3612449357.

The spelling of 30770592 in words is "thirty million, seven hundred seventy thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 251 502 753 1004 1277 1506 2008 2554 3012 3831 4016 5108 6024 7662 8032 10216 12048 15324 20432 24096 30648 40864 61296 122592 320527 641054 961581 1282108 1923162 2564216 3846324 5128432 7692648 10256864 15385296 30770592