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32864052 = 22313293719
BaseRepresentation
bin111110101011…
…1011100110100
32021211200000010
41331113130310
531403122202
63132220220
7546224364
oct175273464
967750003
1032864052
1117607281
12b00a670
136a687b0
1445169a4
152d4276c
hex1f57734

32864052 has 48 divisors (see below), whose sum is σ = 82978560. Its totient is φ = 10063488.

The previous prime is 32864017. The next prime is 32864059. The reversal of 32864052 is 25046823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32864059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45349 + ... + 46067.

It is an arithmetic number, because the mean of its divisors is an integer number (1728720).

Almost surely, 232864052 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 32864052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41489280).

32864052 is an abundant number, since it is smaller than the sum of its proper divisors (50114508).

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

32864052 is a wasteful number, since it uses less digits than its factorization.

32864052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 32864052 is about 5732.7176801235. The cubic root of 32864052 is about 320.3123642609.

The spelling of 32864052 in words is "thirty-two million, eight hundred sixty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 293 586 719 879 1172 1438 1758 2157 2876 3516 3809 4314 7618 8628 9347 11427 15236 18694 22854 28041 37388 45708 56082 112164 210667 421334 632001 842668 1264002 2528004 2738671 5477342 8216013 10954684 16432026 32864052