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51504096 = 2537210949
BaseRepresentation
bin1100010001111…
…0001111100000
310120220200100010
43010132033200
5101141112341
65035524520
71163530500
oct304361740
9116820303
1051504096
1127088876
12152b9740
13a893bc7
146ba9a00
1547c5716
hex311e3e0

51504096 has 72 divisors (see below), whose sum is σ = 157285800. Its totient is φ = 14714112.

The previous prime is 51504083. The next prime is 51504121. The reversal of 51504096 is 69040515.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 771 + ... + 10178.

It is an arithmetic number, because the mean of its divisors is an integer number (2184525).

Almost surely, 251504096 is an apocalyptic number.

51504096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51504096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78642900).

51504096 is an abundant number, since it is smaller than the sum of its proper divisors (105781704).

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

51504096 is a wasteful number, since it uses less digits than its factorization.

51504096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10976 (or 10961 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 51504096 is about 7176.6354233722. The cubic root of 51504096 is about 372.0608063395.

The spelling of 51504096 in words is "fifty-one million, five hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 10949 21898 32847 43796 65694 76643 87592 131388 153286 175184 229929 262776 306572 350368 459858 525552 536501 613144 919716 1051104 1073002 1226288 1609503 1839432 2146004 2452576 3219006 3678864 4292008 6438012 7357728 8584016 12876024 17168032 25752048 51504096