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51136992 = 2532353503
BaseRepresentation
bin1100001100010…
…0100111100000
310120020000202200
43003010213200
5101042340432
65024013200
71160441304
oct303044740
9116200680
1051136992
1126957a85
1215161200
13a795a9a
146b11d04
154751a7c
hex30c49e0

51136992 has 72 divisors (see below), whose sum is σ = 146122704. Its totient is φ = 16963584.

The previous prime is 51136991. The next prime is 51137033. The reversal of 51136992 is 29963115.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×511369922 = 5229983901616128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51136991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101413 + ... + 101915.

It is an arithmetic number, because the mean of its divisors is an integer number (2029482).

Almost surely, 251136992 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 51136992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73061352).

51136992 is an abundant number, since it is smaller than the sum of its proper divisors (94985712).

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

51136992 is a wasteful number, since it uses less digits than its factorization.

51136992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 861 counting only the distinct ones).

The product of its digits is 14580, while the sum is 36.

The square root of 51136992 is about 7151.0133547631. The cubic root of 51136992 is about 371.1747226892.

The spelling of 51136992 in words is "fifty-one million, one hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 353 503 706 1006 1059 1412 1509 2012 2118 2824 3018 3177 4024 4236 4527 5648 6036 6354 8048 8472 9054 11296 12072 12708 16096 16944 18108 24144 25416 33888 36216 48288 50832 72432 101664 144864 177559 355118 532677 710236 1065354 1420472 1598031 2130708 2840944 3196062 4261416 5681888 6392124 8522832 12784248 17045664 25568496 51136992