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51215808 = 263753719
BaseRepresentation
bin1100001101011…
…1110111000000
310120101000212210
43003113313000
5101102401213
65025422120
71161220140
oct303276700
9116330783
1051215808
1126a01216
121519a940
13a7c2917
146b32920
15476a0c3
hex30d7dc0

51215808 has 112 divisors (see below), whose sum is σ = 158008320. Its totient is φ = 14337024.

The previous prime is 51215803. The next prime is 51215809. The reversal of 51215808 is 80851215.

51215808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51215803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70873 + ... + 71591.

Almost surely, 251215808 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 51215808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79004160).

51215808 is an abundant number, since it is smaller than the sum of its proper divisors (106792512).

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

51215808 is a wasteful number, since it uses less digits than its factorization.

51215808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 51215808 is about 7156.5220603307. The cubic root of 51215808 is about 371.3653185047.

The spelling of 51215808 in words is "fifty-one million, two hundred fifteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 672 719 742 848 1113 1272 1344 1438 1484 1696 2157 2226 2544 2876 2968 3392 4314 4452 5033 5088 5752 5936 8628 8904 10066 10176 11504 11872 15099 17256 17808 20132 23008 23744 30198 34512 35616 38107 40264 46016 60396 69024 71232 76214 80528 114321 120792 138048 152428 161056 228642 241584 266749 304856 322112 457284 483168 533498 609712 800247 914568 966336 1066996 1219424 1600494 1829136 2133992 2438848 3200988 3658272 4267984 6401976 7316544 8535968 12803952 17071936 25607904 51215808