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51710016 = 2632937251
BaseRepresentation
bin1100010101000…
…0100001000000
310121022010210210
43011100201000
5101214210031
65044154120
71165346031
oct305204100
9117263723
1051710016
1127209556
1215398940
13a936857
146c20a88
154816746
hex3150840

51710016 has 112 divisors (see below), whose sum is σ = 145938240. Its totient is φ = 16128000.

The previous prime is 51709993. The next prime is 51710027. The reversal of 51710016 is 61001715.

It is a junction number, because it is equal to n+sod(n) for n = 51709974 and 51710001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205891 + ... + 206141.

It is an arithmetic number, because the mean of its divisors is an integer number (1303020).

Almost surely, 251710016 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 51710016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72969120).

51710016 is an abundant number, since it is smaller than the sum of its proper divisors (94228224).

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

51710016 is a wasteful number, since it uses less digits than its factorization.

51710016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 51710016 is about 7190.9676678455. The cubic root of 51710016 is about 372.5559959662. Note that the first 3 decimals are identical.

The spelling of 51710016 in words is "fifty-one million, seven hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 37 48 58 64 74 87 96 111 116 148 174 192 222 232 251 296 348 444 464 502 592 696 753 888 928 1004 1073 1184 1392 1506 1776 1856 2008 2146 2368 2784 3012 3219 3552 4016 4292 5568 6024 6438 7104 7279 8032 8584 9287 12048 12876 14558 16064 17168 18574 21837 24096 25752 27861 29116 34336 37148 43674 48192 51504 55722 58232 68672 74296 87348 103008 111444 116464 148592 174696 206016 222888 232928 269323 297184 349392 445776 465856 538646 594368 698784 807969 891552 1077292 1397568 1615938 1783104 2154584 3231876 4309168 6463752 8618336 12927504 17236672 25855008 51710016