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51144126 = 23111779577
BaseRepresentation
bin1100001100011…
…0010110111110
310120020101112220
43003012112332
5101043103001
65024110210
71160501145
oct303062676
9116211486
1051144126
1126962380
1215165366
13a7990c7
146b1475c
154753c36
hex30c65be

51144126 has 64 divisors (see below), whose sum is σ = 119854080. Its totient is φ = 14376960.

The previous prime is 51144073. The next prime is 51144127. The reversal of 51144126 is 62144115.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 51144096 and 51144105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51144127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88350 + ... + 88926.

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

Almost surely, 251144126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51144126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59927040).

51144126 is an abundant number, since it is smaller than the sum of its proper divisors (68709954).

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

51144126 is a wasteful number, since it uses less digits than its factorization.

51144126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689.

The product of its digits is 960, while the sum is 24.

The square root of 51144126 is about 7151.5121477908. The cubic root of 51144126 is about 371.1919824538.

The spelling of 51144126 in words is "fifty-one million, one hundred forty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 79 102 158 187 237 374 474 561 577 869 1122 1154 1343 1731 1738 2607 2686 3462 4029 5214 6347 8058 9809 12694 14773 19041 19618 29427 29546 38082 44319 45583 58854 88638 91166 107899 136749 215798 273498 323697 501413 647394 774911 1002826 1504239 1549822 2324733 3008478 4649466 8524021 17048042 25572063 51144126