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51971868 = 223713457
BaseRepresentation
bin1100011001000…
…0011100011100
310121210110000000
43012100130130
5101301044433
65053534300
71200516324
oct306203434
9117713000
1051971868
1127378263
12154a4390
13a9c8ab0
146c8c284
154869113
hex319071c

51971868 has 96 divisors (see below), whose sum is σ = 147219520. Its totient is φ = 15956352.

The previous prime is 51971863. The next prime is 51971869. The reversal of 51971868 is 86817915.

51971868 is a `hidden beast` number, since 519 + 71 + 8 + 68 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51971863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113496 + ... + 113952.

Almost surely, 251971868 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 51971868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73609760).

51971868 is an abundant number, since it is smaller than the sum of its proper divisors (95247652).

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

51971868 is a wasteful number, since it uses less digits than its factorization.

51971868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 475 counting only the distinct ones).

The product of its digits is 120960, while the sum is 45.

The square root of 51971868 is about 7209.1516837975. The cubic root of 51971868 is about 373.1837939220.

The spelling of 51971868 in words is "fifty-one million, nine hundred seventy-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 457 468 486 702 729 914 972 1053 1371 1404 1458 1828 2106 2187 2742 2916 3159 4113 4212 4374 5484 5941 6318 8226 8748 9477 11882 12339 12636 16452 17823 18954 23764 24678 28431 35646 37017 37908 49356 53469 56862 71292 74034 106938 111051 113724 148068 160407 213876 222102 320814 333153 444204 481221 641628 666306 962442 999459 1332612 1443663 1924884 1998918 2887326 3997836 4330989 5774652 8661978 12992967 17323956 25985934 51971868