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132625857 = 3713172412
BaseRepresentation
bin1111110011110…
…11010111000001
3100020120002110210
413321323113001
5232423011412
621054344333
73200205210
oct771732701
9306502423
10132625857
1168955851
12384bb0a9
1321627a50
1413885077
15b99b83c
hex7e7b5c1

132625857 has 72 divisors (see below), whose sum is σ = 236974528. Its totient is φ = 64235520.

The previous prime is 132625847. The next prime is 132625861. The reversal of 132625857 is 758526231.

It is not a de Polignac number, because 132625857 - 28 = 132625601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (132625807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3234757 + ... + 3234797.

Almost surely, 2132625857 is an apocalyptic number.

132625857 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

132625857 is a deficient number, since it is larger than the sum of its proper divisors (104348671).

132625857 is a wasteful number, since it uses less digits than its factorization.

132625857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 81 counting only the distinct ones).

The product of its digits is 100800, while the sum is 39.

The square root of 132625857 is about 11516.3300143752. The cubic root of 132625857 is about 509.9677757417.

The spelling of 132625857 in words is "one hundred thirty-two million, six hundred twenty-five thousand, eight hundred fifty-seven".

Divisors: 1 3 7 13 17 21 39 41 51 91 119 123 221 273 287 289 357 533 663 697 861 867 1547 1599 1681 2023 2091 3731 3757 4641 4879 5043 6069 9061 11193 11271 11767 11849 14637 21853 26299 27183 28577 35301 35547 63427 65559 78897 82943 85731 152971 154037 190281 200039 248829 371501 458913 462111 485809 600117 1078259 1114503 1457427 2600507 3234777 3400663 6315517 7801521 10201989 18946551 44208619 132625857