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53232768 = 273373211
BaseRepresentation
bin1100101100010…
…0010010000000
310201011111122000
43023010102000
5102111422033
65140544000
71214320401
oct313042200
9121144560
1053232768
1128059626
12159b2000
13b04a9a4
1470d99a8
154a17a13
hex32c4480

53232768 has 128 divisors (see below), whose sum is σ = 160017600. Its totient is φ = 17418240.

The previous prime is 53232761. The next prime is 53232791. The reversal of 53232768 is 86723235.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53232761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252183 + ... + 252393.

Almost surely, 253232768 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 53232768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80008800).

53232768 is an abundant number, since it is smaller than the sum of its proper divisors (106784832).

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

53232768 is a wasteful number, since it uses less digits than its factorization.

53232768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 289 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 53232768 is about 7296.0789469413. The cubic root of 53232768 is about 376.1776736876.

The spelling of 53232768 in words is "fifty-three million, two hundred thirty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 128 144 146 192 211 216 219 288 292 384 422 432 438 576 584 633 657 844 864 876 1152 1168 1266 1314 1688 1728 1752 1899 1971 2336 2532 2628 3376 3456 3504 3798 3942 4672 5064 5256 5697 6752 7008 7596 7884 9344 10128 10512 11394 13504 14016 15192 15403 15768 20256 21024 22788 27008 28032 30384 30806 31536 40512 42048 45576 46209 60768 61612 63072 81024 84096 91152 92418 121536 123224 126144 138627 182304 184836 243072 246448 252288 277254 364608 369672 415881 492896 554508 729216 739344 831762 985792 1109016 1478688 1663524 1971584 2218032 2957376 3327048 4436064 5914752 6654096 8872128 13308192 17744256 26616384 53232768