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51491232 = 25321317809
BaseRepresentation
bin1100010001101…
…1000110100000
310120220000200200
43010123012200
5101140204412
65035345200
71163445132
oct304330640
9116800620
1051491232
112707a141
12152b2200
13a88b0b0
146ba5052
1547c19dc
hex311b1a0

51491232 has 144 divisors (see below), whose sum is σ = 167174280. Its totient is φ = 14893056.

The previous prime is 51491213. The next prime is 51491263. The reversal of 51491232 is 23219415.

It can be written as a sum of positive squares in 4 ways, for example, as 48944016 + 2547216 = 6996^2 + 1596^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 51491196 and 51491205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63244 + ... + 64052.

Almost surely, 251491232 is an apocalyptic number.

51491232 is a gapful number since it is divisible by the number (52) 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 51491232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83587140).

51491232 is an abundant number, since it is smaller than the sum of its proper divisors (115683048).

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

51491232 is a wasteful number, since it uses less digits than its factorization.

51491232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 844 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 51491232 is about 7175.7391256929. The cubic root of 51491232 is about 372.0298276465.

The spelling of 51491232 in words is "fifty-one million, four hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 408 416 442 468 544 612 624 663 809 816 884 936 1224 1248 1326 1618 1632 1768 1872 1989 2427 2448 2652 3236 3536 3744 3978 4854 4896 5304 6472 7072 7281 7956 9708 10517 10608 12944 13753 14562 15912 19416 21034 21216 25888 27506 29124 31551 31824 38832 41259 42068 55012 58248 63102 63648 77664 82518 84136 94653 110024 116496 123777 126204 165036 168272 178789 189306 220048 232992 247554 252408 330072 336544 357578 378612 440096 495108 504816 536367 660144 715156 757224 990216 1009632 1072734 1320288 1430312 1514448 1609101 1980432 2145468 2860624 3028896 3218202 3960864 4290936 5721248 6436404 8581872 12872808 17163744 25745616 51491232