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51354972 = 2234315113
BaseRepresentation
bin1100001111100…
…1110101011100
310120122002210000
43003321311130
5101121324342
65032414300
71162336644
oct303716534
9116562700
1051354972
1126a96829
1215247390
13a841076
146b6b524
15479644c
hex30f9d5c

51354972 has 60 divisors (see below), whose sum is σ = 138609856. Its totient is φ = 16562880.

The previous prime is 51354937. The next prime is 51354983. The reversal of 51354972 is 27945315.

51354972 is a `hidden beast` number, since 513 + 54 + 97 + 2 = 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 19 ways as a sum of consecutive naturals, for example, 7488 + ... + 12600.

Almost surely, 251354972 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 51354972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69304928).

51354972 is an abundant number, since it is smaller than the sum of its proper divisors (87254884).

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

51354972 is a wasteful number, since it uses less digits than its factorization.

51354972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160 (or 5149 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 51354972 is about 7166.2383437896. The cubic root of 51354972 is about 371.7013732417.

It can be divided in two parts, 51354 and 972, that added together give a triangular number (52326 = T323).

The spelling of 51354972 in words is "fifty-one million, three hundred fifty-four thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 279 324 372 558 837 1116 1674 2511 3348 5022 5113 10044 10226 15339 20452 30678 46017 61356 92034 138051 158503 184068 276102 317006 414153 475509 552204 634012 828306 951018 1426527 1656612 1902036 2853054 4279581 5706108 8559162 12838743 17118324 25677486 51354972