Search a number
-
+
53184064 = 266779157
BaseRepresentation
bin1100101011100…
…0011001000000
310201002000211011
43022320121000
5102103342224
65135530304
71214025403
oct312703100
9121060734
1053184064
1128025a7a
1215989994
13b03177b
1470c5d3a
154a08394
hex32b8640

53184064 has 56 divisors (see below), whose sum is σ = 109159040. Its totient is φ = 25698816.

The previous prime is 53184023. The next prime is 53184067. The reversal of 53184064 is 46048135.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (53184067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338674 + ... + 338830.

Almost surely, 253184064 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 53184064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54579520).

53184064 is an abundant number, since it is smaller than the sum of its proper divisors (55974976).

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

53184064 is a wasteful number, since it uses less digits than its factorization.

53184064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 53184064 is about 7292.7404999767. The cubic root of 53184064 is about 376.0629138726.

The spelling of 53184064 in words is "fifty-three million, one hundred eighty-four thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 67 79 134 157 158 268 314 316 536 628 632 1072 1256 1264 2144 2512 2528 4288 5024 5056 5293 10048 10519 10586 12403 21038 21172 24806 42076 42344 49612 84152 84688 99224 168304 169376 198448 336608 338752 396896 673216 793792 831001 1662002 3324004 6648008 13296016 26592032 53184064