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47121072 = 2434720887
BaseRepresentation
bin1011001111000…
…0001010110000
310021122222221220
42303300022300
544030333242
64401545040
71111344135
oct263601260
9107588856
1047121072
1124664839
1213945180
1399babbb
14638858c
15420bbec
hex2cf02b0

47121072 has 40 divisors (see below), whose sum is σ = 124325376. Its totient is φ = 15372096.

The previous prime is 47121071. The next prime is 47121079. The reversal of 47121072 is 27012174.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (47121071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8188 + ... + 12699.

Almost surely, 247121072 is an apocalyptic number.

It is an amenable number.

47121072 is an abundant number, since it is smaller than the sum of its proper divisors (77204304).

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

47121072 is a wasteful number, since it uses less digits than its factorization.

47121072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20945 (or 20939 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 47121072 is about 6864.4790042654. The cubic root of 47121072 is about 361.1922201783.

The spelling of 47121072 in words is "forty-seven million, one hundred twenty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 20887 41774 62661 83548 125322 167096 250644 334192 501288 981689 1002576 1963378 2945067 3926756 5890134 7853512 11780268 15707024 23560536 47121072