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51544116 = 223213241457
BaseRepresentation
bin1100010010100…
…0000000110100
310120222201020100
43010220000310
5101143402431
65040434100
71164055251
oct304500064
9116881210
1051544116
1127105948
1215318930
13a8a91a0
146bba428
1547d24e6
hex3128034

51544116 has 72 divisors (see below), whose sum is σ = 141205064. Its totient is φ = 15759360.

The previous prime is 51544109. The next prime is 51544121. The reversal of 51544116 is 61144515.

51544116 is a `hidden beast` number, since 5 + 1 + 544 + 116 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13351716 + 38192400 = 3654^2 + 6180^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51544116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112560 + ... + 113016.

Almost surely, 251544116 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 51544116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70602532).

51544116 is an abundant number, since it is smaller than the sum of its proper divisors (89660948).

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

51544116 is a wasteful number, since it uses less digits than its factorization.

51544116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 716 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 51544116 is about 7179.4230966005. The cubic root of 51544116 is about 372.1571483116.

The spelling of 51544116 in words is "fifty-one million, five hundred forty-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 241 457 468 482 723 914 964 1371 1446 1828 2169 2742 2892 3133 4113 4338 5484 5941 6266 8226 8676 9399 11882 12532 16452 17823 18798 23764 28197 35646 37596 53469 56394 71292 106938 110137 112788 213876 220274 330411 440548 660822 991233 1321644 1431781 1982466 2863562 3964932 4295343 5727124 8590686 12886029 17181372 25772058 51544116