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32990944 = 257314751
BaseRepresentation
bin111110111011…
…0011011100000
32022002010001211
41331312123200
531421202234
63135035504
7550263340
oct175663340
968063054
1032990944
1117693648
12b06bb94
136ab148c
14454ad20
152d6a164
hex1f766e0

32990944 has 48 divisors (see below), whose sum is σ = 76640256. Its totient is φ = 13680000.

The previous prime is 32990891. The next prime is 32990957. The reversal of 32990944 is 44909923.

It is a super-2 number, since 2×329909442 = 2176804772022272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32990897 and 32990906.

It is a congruent number.

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, 4569 + ... + 9319.

It is an arithmetic number, because the mean of its divisors is an integer number (1596672).

Almost surely, 232990944 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 32990944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38320128).

32990944 is an abundant number, since it is smaller than the sum of its proper divisors (43649312).

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

32990944 is a wasteful number, since it uses less digits than its factorization.

32990944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4799 (or 4791 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 32990944 is about 5743.7743688275. The cubic root of 32990944 is about 320.7240894759.

The spelling of 32990944 in words is "thirty-two million, nine hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 4751 6944 9502 19004 33257 38008 66514 76016 133028 147281 152032 266056 294562 532112 589124 1030967 1064224 1178248 2061934 2356496 4123868 4712992 8247736 16495472 32990944