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47232080 = 2457212049
BaseRepresentation
bin1011010000101…
…1010001010000
310021212122020022
42310023101100
544042411310
64404203012
71112315600
oct264132120
9107778208
1047232080
1124730185
1213999468
139a2959c
1463b6c00
15422ea55
hex2d0b450

47232080 has 60 divisors (see below), whose sum is σ = 127754100. Its totient is φ = 16192512.

The previous prime is 47232077. The next prime is 47232083. The reversal of 47232080 is 8023274.

It is an interprime number because it is at equal distance from previous prime (47232077) and next prime (47232083).

It can be written as a sum of positive squares in 2 ways, for example, as 24840256 + 22391824 = 4984^2 + 4732^2 .

It is a super-2 number, since 2×472320802 = 4461738762252800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47232083) 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, 2105 + ... + 9944.

It is an arithmetic number, because the mean of its divisors is an integer number (2129235).

Almost surely, 247232080 is an apocalyptic number.

47232080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47232080 is an abundant number, since it is smaller than the sum of its proper divisors (80522020).

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

47232080 is a wasteful number, since it uses less digits than its factorization.

47232080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12076 (or 12063 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 47232080 is about 6872.5599306226. The cubic root of 47232080 is about 361.4756304088.

The spelling of 47232080 in words is "forty-seven million, two hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 12049 24098 48196 60245 84343 96392 120490 168686 192784 240980 337372 421715 481960 590401 674744 843430 963920 1180802 1349488 1686860 2361604 2952005 3373720 4723208 5904010 6747440 9446416 11808020 23616040 47232080