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53834968 = 23114143347
BaseRepresentation
bin1100110101011…
…1010011011000
310202022002200201
43031113103120
5102240204333
65201511544
71222406155
oct315272330
9122262621
1053834968
1128430010
12160425b4
13b1cbb15
14721522c
154ad617d
hex33574d8

53834968 has 64 divisors (see below), whose sum is σ = 115758720. Its totient is φ = 23251200.

The previous prime is 53834947. The next prime is 53834987. The reversal of 53834968 is 86943835.

It is a super-2 number, since 2×538349682 = 5796407559122048, which contains 22 as substring.

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, 154971 + ... + 155317.

It is an arithmetic number, because the mean of its divisors is an integer number (1808730).

Almost surely, 253834968 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 53834968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57879360).

53834968 is an abundant number, since it is smaller than the sum of its proper divisors (61923752).

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

53834968 is a wasteful number, since it uses less digits than its factorization.

53834968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 444 counting only the distinct ones).

The product of its digits is 622080, while the sum is 46.

The square root of 53834968 is about 7337.2316305266. The cubic root of 53834968 is about 377.5908715056.

The spelling of 53834968 in words is "fifty-three million, eight hundred thirty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 22 41 43 44 82 86 88 164 172 328 344 347 451 473 694 902 946 1388 1763 1804 1892 2776 3526 3608 3784 3817 7052 7634 14104 14227 14921 15268 19393 28454 29842 30536 38786 56908 59684 77572 113816 119368 155144 156497 164131 312994 328262 611761 625988 656524 1223522 1251976 1313048 2447044 4894088 6729371 13458742 26917484 53834968