Search a number
-
+
51434922 = 23711229349
BaseRepresentation
bin1100010000110…
…1010110101010
310120210011110010
43010031112222
5101131404142
65034232350
71163122020
oct304152652
9116704403
1051434922
1127040900
12152856b6
13a86b586
146b8c710
1547aee9c
hex310d5aa

51434922 has 96 divisors (see below), whose sum is σ = 134064000. Its totient is φ = 12862080.

The previous prime is 51434909. The next prime is 51434941. The reversal of 51434922 is 22943415.

It is a super-2 number, since 2×514349222 = 5291102402292168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51434922.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147204 + ... + 147552.

It is an arithmetic number, because the mean of its divisors is an integer number (1396500).

Almost surely, 251434922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51434922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67032000).

51434922 is an abundant number, since it is smaller than the sum of its proper divisors (82629078).

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

51434922 is a wasteful number, since it uses less digits than its factorization.

51434922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 401 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 51434922 is about 7171.8144147768. The cubic root of 51434922 is about 371.8941628616.

The spelling of 51434922 in words is "fifty-one million, four hundred thirty-four thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 121 154 174 203 231 242 319 349 363 406 462 609 638 698 726 847 957 1047 1218 1694 1914 2094 2233 2443 2541 3509 3839 4466 4886 5082 6699 7018 7329 7678 10121 10527 11517 13398 14658 20242 21054 23034 24563 26873 30363 42229 49126 53746 60726 70847 73689 80619 84458 111331 126687 141694 147378 161238 212541 222662 253374 295603 333993 425082 591206 667986 779317 886809 1224641 1558634 1773618 2337951 2449282 3673923 4675902 7347846 8572487 17144974 25717461 51434922