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30587968 = 264111657
BaseRepresentation
bin111010010101…
…1110001000000
32010120000210201
41310223301000
530312303333
63011334544
7520664515
oct164536100
963500721
1030587968
11162a2214
12a2b1454
13644c7b8
1440c330c
152a4317d
hex1d2bc40

30587968 has 28 divisors (see below), whose sum is σ = 62183772. Its totient is φ = 14919680.

The previous prime is 30587941. The next prime is 30587969. The reversal of 30587968 is 86978503.

It can be written as a sum of positive squares in 2 ways, for example, as 10445824 + 20142144 = 3232^2 + 4488^2 .

It is not an unprimeable number, because it can be changed into a prime (30587969) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 3205 + ... + 8452.

It is an arithmetic number, because the mean of its divisors is an integer number (2220849).

Almost surely, 230587968 is an apocalyptic number.

It is an amenable number.

30587968 is an abundant number, since it is smaller than the sum of its proper divisors (31595804).

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

30587968 is a wasteful number, since it uses less digits than its factorization.

30587968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11710 (or 11700 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 30587968 is about 5530.6390227532. The cubic root of 30587968 is about 312.7400796171.

It can be divided in two parts, 3058 and 7968, that added together give a triangular number (11026 = T148).

The spelling of 30587968 in words is "thirty million, five hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 11657 23314 46628 93256 186512 373024 477937 746048 955874 1911748 3823496 7646992 15293984 30587968