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132852524 = 22722772447
BaseRepresentation
bin1111110101100…
…10101100101100
3100020222121101212
413322302230230
5233002240044
621103253552
73202141100
oct772625454
9306877355
10132852524
1168aa0082
12385aa2b8
13216a6c7c
1413903900
15b9e3a9e
hex7eb2b2c

132852524 has 36 divisors (see below), whose sum is σ = 271537056. Its totient is φ = 56708064.

The previous prime is 132852523. The next prime is 132852583. The reversal of 132852524 is 425258231.

It is not an unprimeable number, because it can be changed into a prime (132852521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53069 + ... + 55515.

It is an arithmetic number, because the mean of its divisors is an integer number (7542696).

Almost surely, 2132852524 is an apocalyptic number.

132852524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132852524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135768528).

132852524 is an abundant number, since it is smaller than the sum of its proper divisors (138684532).

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

132852524 is a wasteful number, since it uses less digits than its factorization.

132852524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2733 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 132852524 is about 11526.1669257390. The cubic root of 132852524 is about 510.2581340946.

The spelling of 132852524 in words is "one hundred thirty-two million, eight hundred fifty-two thousand, five hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 98 196 277 554 1108 1939 2447 3878 4894 7756 9788 13573 17129 27146 34258 54292 68516 119903 239806 479612 677819 1355638 2711276 4744733 9489466 18978932 33213131 66426262 132852524