Search a number
-
+
53216256 = 2103171019
BaseRepresentation
bin1100101100000…
…0010000000000
310201010122222110
43023000100000
5102110410011
65140335320
71214221302
oct313002000
9121118873
1053216256
1128048185
12159a4540
13b043312
1470d3972
154a12ba6
hex32c0400

53216256 has 88 divisors (see below), whose sum is σ = 150331680. Its totient is φ = 16678912.

The previous prime is 53216231. The next prime is 53216257. The reversal of 53216256 is 65261235.

It is not an unprimeable number, because it can be changed into a prime (53216257) 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, 51715 + ... + 52733.

Almost surely, 253216256 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 53216256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75165840).

53216256 is an abundant number, since it is smaller than the sum of its proper divisors (97115424).

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

53216256 is a wasteful number, since it uses less digits than its factorization.

53216256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1041 counting only the distinct ones).

The product of its digits is 10800, while the sum is 30.

The square root of 53216256 is about 7294.9472924758. The cubic root of 53216256 is about 376.1387747892.

The spelling of 53216256 in words is "fifty-three million, two hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1019 1024 1088 1536 1632 2038 2176 3057 3072 3264 4076 4352 6114 6528 8152 8704 12228 13056 16304 17323 17408 24456 26112 32608 34646 48912 51969 52224 65216 69292 97824 103938 130432 138584 195648 207876 260864 277168 391296 415752 521728 554336 782592 831504 1043456 1108672 1565184 1663008 2217344 3130368 3326016 4434688 6652032 8869376 13304064 17738752 26608128 53216256