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47168680 = 2351390709
BaseRepresentation
bin1011001111101…
…1110010101000
310021202102021011
42303323302220
544033344210
64402553304
71111633006
oct263736250
9107672234
1047168680
1124697589
1213968834
139a06780
14639ba76
15421ad8a
hex2cfbca8

47168680 has 32 divisors (see below), whose sum is σ = 114294600. Its totient is φ = 17415936.

The previous prime is 47168669. The next prime is 47168687. The reversal of 47168680 is 8686174.

It can be written as a sum of positive squares in 4 ways, for example, as 38862756 + 8305924 = 6234^2 + 2882^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (47168687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44835 + ... + 45874.

Almost surely, 247168680 is an apocalyptic number.

47168680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47168680 is an abundant number, since it is smaller than the sum of its proper divisors (67125920).

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

47168680 is a wasteful number, since it uses less digits than its factorization.

47168680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90733 (or 90729 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 47168680 is about 6867.9458355465. The cubic root of 47168680 is about 361.3138207746.

The spelling of 47168680 in words is "forty-seven million, one hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 90709 181418 362836 453545 725672 907090 1179217 1814180 2358434 3628360 4716868 5896085 9433736 11792170 23584340 47168680