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51163008 = 2731337277
BaseRepresentation
bin1100001100101…
…0111110000000
310120021100110020
43003022332000
5101044204013
65024333440
71160610201
oct303127600
9116240406
1051163008
1126975586
1215174280
13a7a4890
146b1b5a8
154759623
hex30caf80

51163008 has 128 divisors (see below), whose sum is σ = 150853920. Its totient is φ = 15261696.

The previous prime is 51162997. The next prime is 51163027. The reversal of 51163008 is 80036115.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

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, 184566 + ... + 184842.

Almost surely, 251163008 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 51163008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75426960).

51163008 is an abundant number, since it is smaller than the sum of its proper divisors (99690912).

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

51163008 is a wasteful number, since it uses less digits than its factorization.

51163008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 51163008 is about 7152.8321663520. The cubic root of 51163008 is about 371.2376571983.

The spelling of 51163008 in words is "fifty-one million, one hundred sixty-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 277 296 312 384 416 444 481 554 592 624 831 832 888 962 1108 1184 1248 1443 1662 1664 1776 1924 2216 2368 2496 2886 3324 3552 3601 3848 4432 4736 4992 5772 6648 7104 7202 7696 8864 10249 10803 11544 13296 14208 14404 15392 17728 20498 21606 23088 26592 28808 30747 30784 35456 40996 43212 46176 53184 57616 61494 61568 81992 86424 92352 106368 115232 122988 133237 163984 172848 184704 230464 245976 266474 327968 345696 399711 460928 491952 532948 655936 691392 799422 983904 1065896 1311872 1382784 1598844 1967808 2131792 3197688 3935616 4263584 6395376 8527168 12790752 17054336 25581504 51163008