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47131392 = 283711797
BaseRepresentation
bin1011001111001…
…0101100000000
310021200112010010
42303302230000
544031201032
64402104520
71111416210
oct263625400
9107615103
1047131392
1124671570
121394b140
1399c27c9
14638c240
15420eccc
hex2cf2b00

47131392 has 144 divisors (see below), whose sum is σ = 156586752. Its totient is φ = 12226560.

The previous prime is 47131387. The next prime is 47131411. The reversal of 47131392 is 29313174.

It is a super-2 number, since 2×471313922 = 4442736223715328, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 58738 + ... + 59534.

It is an arithmetic number, because the mean of its divisors is an integer number (1087408).

Almost surely, 247131392 is an apocalyptic number.

47131392 is a gapful number since it is divisible by the number (42) 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 47131392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78293376).

47131392 is an abundant number, since it is smaller than the sum of its proper divisors (109455360).

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

47131392 is a wasteful number, since it uses less digits than its factorization.

47131392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 820 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 47131392 is about 6865.2306589072. The cubic root of 47131392 is about 361.2185865254.

It can be divided in two parts, 4713 and 1392, that added together give a triangular number (6105 = T110).

The spelling of 47131392 in words is "forty-seven million, one hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 797 896 924 1056 1232 1344 1408 1594 1792 1848 2112 2391 2464 2688 2816 3188 3696 4224 4782 4928 5376 5579 6376 7392 8448 8767 9564 9856 11158 12752 14784 16737 17534 19128 19712 22316 25504 26301 29568 33474 35068 38256 44632 51008 52602 59136 61369 66948 70136 76512 89264 102016 105204 122738 133896 140272 153024 178528 184107 204032 210408 245476 267792 280544 306048 357056 368214 420816 490952 535584 561088 612096 714112 736428 841632 981904 1071168 1122176 1428224 1472856 1683264 1963808 2142336 2244352 2945712 3366528 3927616 4284672 5891424 6733056 7855232 11782848 15710464 23565696 47131392