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32968144 = 2411217029
BaseRepresentation
bin111110111000…
…0110111010000
32022000221210101
41331300313100
531414440034
63134342144
7550140016
oct175606720
968027711
1032968144
1117678500
12b05a954
136aa3ca1
1445428b6
152d63514
hex1f70dd0

32968144 has 30 divisors (see below), whose sum is σ = 70214690. Its totient is φ = 14984640.

The previous prime is 32968109. The next prime is 32968183. The reversal of 32968144 is 44186923.

It can be written as a sum of positive squares in only one way, i.e., 31225744 + 1742400 = 5588^2 + 1320^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6579 + ... + 10450.

Almost surely, 232968144 is an apocalyptic number.

It is an amenable number.

32968144 is an abundant number, since it is smaller than the sum of its proper divisors (37246546).

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

32968144 is a wasteful number, since it uses less digits than its factorization.

32968144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17059 (or 17042 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 32968144 is about 5741.7892681637. The cubic root of 32968144 is about 320.6501884438.

The spelling of 32968144 in words is "thirty-two million, nine hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 17029 34058 68116 136232 187319 272464 374638 749276 1498552 2060509 2997104 4121018 8242036 16484072 32968144