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51960816 = 2432734943
BaseRepresentation
bin1100011000110…
…1101111110000
310121202212211200
43012031233300
5101300221231
65053411200
71200442155
oct306155760
9117685750
1051960816
112736aa26
1215499b00
13a9c3a5b
146c8822c
154865be6
hex318dbf0

51960816 has 60 divisors (see below), whose sum is σ = 147439968. Its totient is φ = 17079552.

The previous prime is 51960809. The next prime is 51960869. The reversal of 51960816 is 61806915.

51960816 is a `hidden beast` number, since 519 + 60 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8041 + ... + 12983.

Almost surely, 251960816 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 51960816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73719984).

51960816 is an abundant number, since it is smaller than the sum of its proper divisors (95479152).

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

51960816 is a wasteful number, since it uses less digits than its factorization.

51960816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 51960816 is about 7208.3851173477. The cubic root of 51960816 is about 373.1573390992.

The spelling of 51960816 in words is "fifty-one million, nine hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 4943 5256 9886 10512 14829 19772 29658 39544 44487 59316 79088 88974 118632 177948 237264 355896 360839 711792 721678 1082517 1443356 2165034 2886712 3247551 4330068 5773424 6495102 8660136 12990204 17320272 25980408 51960816