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47131136 = 29137397
BaseRepresentation
bin1011001111001…
…0101000000000
310021200111202122
42303302220000
544031144021
64402103412
71111415363
oct263625000
9107614678
1047131136
1124671358
121394ab68
1399c2660
14638c0da
15420ebab
hex2cf2a00

47131136 has 80 divisors (see below), whose sum is σ = 103863144. Its totient is φ = 21233664.

The previous prime is 47131121. The next prime is 47131159. The reversal of 47131136 is 63113174.

It can be written as a sum of positive squares in 4 ways, for example, as 32993536 + 14137600 = 5744^2 + 3760^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485840 + ... + 485936.

Almost surely, 247131136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47131136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51931572).

47131136 is an abundant number, since it is smaller than the sum of its proper divisors (56732008).

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

47131136 is an equidigital number, since it uses as much as digits as its factorization.

47131136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its digits is 1512, while the sum is 26.

The square root of 47131136 is about 6865.2120142061. The cubic root of 47131136 is about 361.2179325231.

The spelling of 47131136 in words is "forty-seven million, one hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 97 104 128 146 194 208 256 292 388 416 512 584 776 832 949 1168 1261 1552 1664 1898 2336 2522 3104 3328 3796 4672 5044 6208 6656 7081 7592 9344 10088 12416 14162 15184 18688 20176 24832 28324 30368 37376 40352 49664 56648 60736 80704 92053 113296 121472 161408 184106 226592 242944 322816 368212 453184 485888 645632 736424 906368 1472848 1812736 2945696 3625472 5891392 11782784 23565568 47131136