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132852928 = 2613271173
BaseRepresentation
bin1111110101100…
…10110011000000
3100020222121221211
413322302303000
5233002243203
621103255504
73202142215
oct772626300
9306877854
10132852928
1168aa040a
12385aa594
13216a7200
1413903b0c
15b9e3c6d
hex7eb2cc0

132852928 has 84 divisors (see below), whose sum is σ = 291163248. Its totient is φ = 60103680.

The previous prime is 132852917. The next prime is 132852931. The reversal of 132852928 is 829258231.

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, 767850 + ... + 768022.

Almost surely, 2132852928 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 132852928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145581624).

132852928 is an abundant number, since it is smaller than the sum of its proper divisors (158310320).

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

132852928 is a wasteful number, since it uses less digits than its factorization.

132852928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 259 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The square root of 132852928 is about 11526.1844510662. The cubic root of 132852928 is about 510.2586513199.

The spelling of 132852928 in words is "one hundred thirty-two million, eight hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 142 169 173 208 284 338 346 416 568 676 692 832 923 1136 1352 1384 1846 2249 2272 2704 2768 3692 4498 4544 5408 5536 7384 8996 10816 11072 11999 12283 14768 17992 23998 24566 29237 29536 35984 47996 49132 58474 59072 71968 95992 98264 116948 143936 159679 191984 196528 233896 319358 383968 393056 467792 638716 767936 786112 935584 1277432 1871168 2075827 2554864 4151654 5109728 8303308 10219456 16606616 33213232 66426464 132852928