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51144296 = 23717311733
BaseRepresentation
bin1100001100011…
…0011001101000
310120020101210012
43003012121220
5101043104141
65024111052
71160501510
oct303063150
9116211705
1051144296
1126962515
1215165488
13a7991c8
146b14840
154753ceb
hex30c6668

51144296 has 64 divisors (see below), whose sum is σ = 119854080. Its totient is φ = 19952640.

The previous prime is 51144283. The next prime is 51144299. The reversal of 51144296 is 69244115.

It is not an unprimeable number, because it can be changed into a prime (51144299) by changing a digit.

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, 28646 + ... + 30378.

It is an arithmetic number, because the mean of its divisors is an integer number (1872720).

Almost surely, 251144296 is an apocalyptic number.

51144296 is a gapful number since it is divisible by the number (56) 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 51144296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59927040).

51144296 is an abundant number, since it is smaller than the sum of its proper divisors (68709784).

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

51144296 is a wasteful number, since it uses less digits than its factorization.

51144296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1790 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 51144296 is about 7151.5240333792. The cubic root of 51144296 is about 371.1923937267.

The spelling of 51144296 in words is "fifty-one million, one hundred forty-four thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 17 28 31 34 56 62 68 119 124 136 217 238 248 434 476 527 868 952 1054 1733 1736 2108 3466 3689 4216 6932 7378 12131 13864 14756 24262 29461 29512 48524 53723 58922 97048 107446 117844 206227 214892 235688 376061 412454 429784 752122 824908 913291 1504244 1649816 1826582 3008488 3653164 6393037 7306328 12786074 25572148 51144296