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132464808 = 23347192953
BaseRepresentation
bin1111110010101…
…00000010101000
3100020020220120000
413321110002220
5232402333213
621051103000
73165634530
oct771240250
9306226500
10132464808
1168855853
1238441a60
132159c658
14138424c0
15b968c73
hex7e540a8

132464808 has 320 divisors, whose sum is σ = 470448000. Its totient is φ = 33965568.

The previous prime is 132464807. The next prime is 132464819. The reversal of 132464808 is 808464231.

132464808 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 648 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132464807) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2499310 + ... + 2499362.

It is an arithmetic number, because the mean of its divisors is an integer number (1470150).

Almost surely, 2132464808 is an apocalyptic number.

132464808 is a gapful number since it is divisible by the number (18) 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 132464808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235224000).

132464808 is an abundant number, since it is smaller than the sum of its proper divisors (337983192).

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

132464808 is a wasteful number, since it uses less digits than its factorization.

132464808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 132464808 is about 11509.3356889092. The cubic root of 132464808 is about 509.7612723536.

The spelling of 132464808 in words is "one hundred thirty-two million, four hundred sixty-four thousand, eight hundred eight".