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32864104 = 2372136449
BaseRepresentation
bin111110101011…
…1011101101000
32021211200002001
41331113131220
531403122404
63132220344
7546224500
oct175273550
967750061
1032864104
1117607319
12b00a6b4
136a68820
144516a00
152d427a4
hex1f57768

32864104 has 48 divisors (see below), whose sum is σ = 77206500. Its totient is φ = 12999168.

The previous prime is 32864063. The next prime is 32864113. The reversal of 32864104 is 40146823.

It can be written as a sum of positive squares in 2 ways, for example, as 32467204 + 396900 = 5698^2 + 630^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1872 + ... + 8320.

Almost surely, 232864104 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 32864104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38603250).

32864104 is an abundant number, since it is smaller than the sum of its proper divisors (44342396).

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

32864104 is a wasteful number, since it uses less digits than its factorization.

32864104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6482 (or 6471 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 32864104 is about 5732.7222154924. The cubic root of 32864104 is about 320.3125332017.

The spelling of 32864104 in words is "thirty-two million, eight hundred sixty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 6449 12898 25796 45143 51592 83837 90286 167674 180572 316001 335348 361144 586859 632002 670696 1173718 1264004 2347436 2528008 4108013 4694872 8216026 16432052 32864104