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47352132 = 22321379601
BaseRepresentation
bin1011010010100…
…0100101000100
310022002201220200
42310220211010
544110232012
64410530500
71113325602
oct264504504
9108081820
1047352132
11248023a3
1213a36a30
139a6c119
146408872
1542553dc
hex2d28944

47352132 has 36 divisors (see below), whose sum is σ = 120581916. Its totient is φ = 15667200.

The previous prime is 47352131. The next prime is 47352163. The reversal of 47352132 is 23125374.

It can be written as a sum of positive squares in 2 ways, for example, as 32421636 + 14930496 = 5694^2 + 3864^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 47352096 and 47352105.

It is not an unprimeable number, because it can be changed into a prime (47352131) 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, 132 + ... + 9732.

Almost surely, 247352132 is an apocalyptic number.

It is an amenable number.

47352132 is an abundant number, since it is smaller than the sum of its proper divisors (73229784).

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

47352132 is a wasteful number, since it uses less digits than its factorization.

47352132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9748 (or 9743 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 47352132 is about 6881.2885421264. The cubic root of 47352132 is about 361.7816311686.

The spelling of 47352132 in words is "forty-seven million, three hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 9601 19202 28803 38404 57606 86409 115212 172818 345636 1315337 2630674 3946011 5261348 7892022 11838033 15784044 23676066 47352132