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51631872 = 283233779
BaseRepresentation
bin1100010011110…
…1011100000000
310121011011121120
43010331130000
5101204204442
65042352240
71164602145
oct304753400
9117134546
1051631872
1127165876
121535b680
13a90a106
146c003cc
1547ed4ec
hex313d700

51631872 has 144 divisors (see below), whose sum is σ = 149130240. Its totient is φ = 15814656.

The previous prime is 51631871. The next prime is 51631901. The reversal of 51631872 is 27813615.

Its product of digits (10080) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51631871) 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, 653529 + ... + 653607.

Almost surely, 251631872 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 51631872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74565120).

51631872 is an abundant number, since it is smaller than the sum of its proper divisors (97498368).

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

51631872 is a wasteful number, since it uses less digits than its factorization.

51631872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 51631872 is about 7185.5321306080. The cubic root of 51631872 is about 372.3682329015.

The spelling of 51631872 in words is "fifty-one million, six hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 37 46 48 64 69 74 79 92 96 111 128 138 148 158 184 192 222 237 256 276 296 316 368 384 444 474 552 592 632 736 768 851 888 948 1104 1184 1264 1472 1702 1776 1817 1896 2208 2368 2528 2553 2923 2944 3404 3552 3634 3792 4416 4736 5056 5106 5451 5846 5888 6808 7104 7268 7584 8769 8832 9472 10112 10212 10902 11692 13616 14208 14536 15168 17538 17664 20224 20424 21804 23384 27232 28416 29072 30336 35076 40848 43608 46768 54464 58144 60672 67229 70152 81696 87216 93536 108928 116288 134458 140304 163392 174432 187072 201687 217856 232576 268916 280608 326784 348864 374144 403374 465152 537832 561216 653568 697728 748288 806748 1075664 1122432 1395456 1613496 2151328 2244864 3226992 4302656 6453984 8605312 12907968 17210624 25815936 51631872