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132475392 = 29337372
BaseRepresentation
bin1111110010101…
…10101000000000
3100020021110002000
413321112220000
5232403203032
621051224000
73166010430
oct771265000
9306243060
10132475392
11688627a5
1238448000
13215a440a
14138462c0
15b96be7c
hex7e56a00

132475392 has 240 divisors, whose sum is σ = 460595520. Its totient is φ = 36827136.

The previous prime is 132475381. The next prime is 132475403. The reversal of 132475392 is 293574231.

It is an interprime number because it is at equal distance from previous prime (132475381) and next prime (132475403).

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

Its product of digits (45360) is a multiple of the sum of its prime factors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3580398 + ... + 3580434.

It is an arithmetic number, because the mean of its divisors is an integer number (1919148).

Almost surely, 2132475392 is an apocalyptic number.

132475392 is a gapful number since it is divisible by the number (12) 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 132475392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230297760).

132475392 is an abundant number, since it is smaller than the sum of its proper divisors (328120128).

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

132475392 is an frugal number, since it uses more digits than its factorization.

132475392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 49 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 132475392 is about 11509.7954803724. The cubic root of 132475392 is about 509.7748487133.

The spelling of 132475392 in words is "one hundred thirty-two million, four hundred seventy-five thousand, three hundred ninety-two".