Search a number
-
+
50979264 = 263783457
BaseRepresentation
bin1100001001111…
…0000111000000
310112221000101220
43002132013000
5101022314024
65020355040
71156213410
oct302360700
9115830356
1050979264
112685a526
12150a5a80
13a73c05b
146ab0640
15471ee79
hex309e1c0

50979264 has 112 divisors (see below), whose sum is σ = 156350208. Its totient is φ = 14358528.

The previous prime is 50979259. The next prime is 50979287. The reversal of 50979264 is 46297905.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111324 + ... + 111780.

It is an arithmetic number, because the mean of its divisors is an integer number (1395984).

Almost surely, 250979264 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 50979264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78175104).

50979264 is an abundant number, since it is smaller than the sum of its proper divisors (105370944).

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

50979264 is a wasteful number, since it uses less digits than its factorization.

50979264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 50979264 is about 7139.9764705495. The cubic root of 50979264 is about 370.7927099828.

The spelling of 50979264 in words is "fifty million, nine hundred seventy-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 83 84 96 112 166 168 192 224 249 332 336 448 457 498 581 664 672 914 996 1162 1328 1344 1371 1743 1828 1992 2324 2656 2742 3199 3486 3656 3984 4648 5312 5484 6398 6972 7312 7968 9296 9597 10968 12796 13944 14624 15936 18592 19194 21936 25592 27888 29248 37184 37931 38388 43872 51184 55776 75862 76776 87744 102368 111552 113793 151724 153552 204736 227586 265517 303448 307104 455172 531034 606896 614208 796551 910344 1062068 1213792 1593102 1820688 2124136 2427584 3186204 3641376 4248272 6372408 7282752 8496544 12744816 16993088 25489632 50979264