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51868440 = 233251311083
BaseRepresentation
bin1100010111011…
…1001100011000
310121121012010100
43011313030120
5101234242230
65051415400
71166605641
oct305671430
9117535110
1051868440
1127307588
1215454560
13a9909b0
146c626c8
154848660
hex3177318

51868440 has 96 divisors (see below), whose sum is σ = 181555920. Its totient is φ = 12766464.

The previous prime is 51868433. The next prime is 51868457. The reversal of 51868440 is 4486815.

51868440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 51868395 and 51868404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862 + ... + 10221.

Almost surely, 251868440 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 51868440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90777960).

51868440 is an abundant number, since it is smaller than the sum of its proper divisors (129687480).

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

51868440 is a wasteful number, since it uses less digits than its factorization.

51868440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11113 (or 11106 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 51868440 is about 7201.9747291975. The cubic root of 51868440 is about 372.9360747401.

The spelling of 51868440 in words is "fifty-one million, eight hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 11083 22166 33249 44332 55415 66498 88664 99747 110830 132996 144079 166245 199494 221660 265992 288158 332490 398988 432237 443320 498735 576316 664980 720395 797976 864474 997470 1152632 1296711 1329960 1440790 1728948 1994940 2161185 2593422 2881580 3457896 3989880 4322370 5186844 5763160 6483555 8644740 10373688 12967110 17289480 25934220 51868440