Search a number
-
+
52416960 = 263554601
BaseRepresentation
bin1100011111110…
…1000111000000
310122122001112220
43013331013000
5101404320320
65111251040
71204352061
oct307750700
9118561486
1052416960
1127651702
1215679a80
13ab2356b
146d66568
154905e40
hex31fd1c0

52416960 has 56 divisors (see below), whose sum is σ = 166426896. Its totient is φ = 13977600.

The previous prime is 52416943. The next prime is 52416961. The reversal of 52416960 is 6961425.

52416960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52416961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26341 + ... + 28260.

Almost surely, 252416960 is an apocalyptic number.

It is an amenable number.

52416960 is an abundant number, since it is smaller than the sum of its proper divisors (114009936).

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

52416960 is a wasteful number, since it uses less digits than its factorization.

52416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54621 (or 54611 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 52416960 is about 7239.9558009701. The cubic root of 52416960 is about 374.2460942409.

The spelling of 52416960 in words is "fifty-two million, four hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 54601 109202 163803 218404 273005 327606 436808 546010 655212 819015 873616 1092020 1310424 1638030 1747232 2184040 2620848 3276060 3494464 4368080 5241696 6552120 8736160 10483392 13104240 17472320 26208480 52416960