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53252928 = 2632591567
BaseRepresentation
bin1100101100100…
…1001101000000
310201012112021200
43023021031000
5102113043203
65141221200
71214433231
oct313111500
9121175250
1053252928
1128072793
1215a01800
13b056c11
147103088
154a1d9a3
hex32c9340

53252928 has 84 divisors (see below), whose sum is σ = 155326080. Its totient is φ = 17438976.

The previous prime is 53252923. The next prime is 53252951. The reversal of 53252928 is 82925235.

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

It is a junction number, because it is equal to n+sod(n) for n = 53252892 and 53252901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53252921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33201 + ... + 34767.

It is an arithmetic number, because the mean of its divisors is an integer number (1849120).

Almost surely, 253252928 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 53252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77663040).

53252928 is an abundant number, since it is smaller than the sum of its proper divisors (102073152).

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

53252928 is a wasteful number, since it uses less digits than its factorization.

53252928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1631 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 53252928 is about 7297.4603801597. The cubic root of 53252928 is about 376.2251556242.

The spelling of 53252928 in words is "fifty-three million, two hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 576 708 944 1062 1416 1567 1888 2124 2832 3134 3776 4248 4701 5664 6268 8496 9402 11328 12536 14103 16992 18804 25072 28206 33984 37608 50144 56412 75216 92453 100288 112824 150432 184906 225648 277359 300864 369812 451296 554718 739624 832077 902592 1109436 1479248 1664154 2218872 2958496 3328308 4437744 5916992 6656616 8875488 13313232 17750976 26626464 53252928