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51323136 = 283173931
BaseRepresentation
bin1100001111001…
…0000100000000
310120120111002220
43003302010000
5101114320021
65032011040
71162145064
oct303620400
9116514086
1051323136
1126a74917
1215230a80
13a82c727
146b5daa4
15478bcc6
hex30f2100

51323136 has 72 divisors (see below), whose sum is σ = 144666144. Its totient is φ = 16097280.

The previous prime is 51323117. The next prime is 51323137. The reversal of 51323136 is 63132315.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (51323137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11091 + ... + 15021.

It is an arithmetic number, because the mean of its divisors is an integer number (2009252).

Almost surely, 251323136 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 51323136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72333072).

51323136 is an abundant number, since it is smaller than the sum of its proper divisors (93343008).

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

51323136 is a wasteful number, since it uses less digits than its factorization.

51323136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3967 (or 3953 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 51323136 is about 7164.0167503992. The cubic root of 51323136 is about 371.6245489306.

The spelling of 51323136 in words is "fifty-one million, three hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 544 768 816 1088 1632 2176 3264 3931 4352 6528 7862 11793 13056 15724 23586 31448 47172 62896 66827 94344 125792 133654 188688 200481 251584 267308 377376 400962 503168 534616 754752 801924 1006336 1069232 1509504 1603848 2138464 3019008 3207696 4276928 6415392 8553856 12830784 17107712 25661568 51323136