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53430528 = 283292399
BaseRepresentation
bin1100101111010…
…0100100000000
310201112112220110
43023310210000
5102134234103
65145111320
71216103064
oct313644400
9121475813
1053430528
1128184168
1215a88540
13b0b99c8
14714baa4
154a56403
hex32f4900

53430528 has 72 divisors (see below), whose sum is σ = 147168000. Its totient is φ = 17188864.

The previous prime is 53430521. The next prime is 53430547. The reversal of 53430528 is 82503435.

It is a junction number, because it is equal to n+sod(n) for n = 53430495 and 53430504.

It is not an unprimeable number, because it can be changed into a prime (53430521) 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, 21073 + ... + 23471.

It is an arithmetic number, because the mean of its divisors is an integer number (2044000).

Almost surely, 253430528 is an apocalyptic number.

53430528 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53430528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73584000).

53430528 is an abundant number, since it is smaller than the sum of its proper divisors (93737472).

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

53430528 is a wasteful number, since it uses less digits than its factorization.

53430528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 53430528 is about 7309.6188683132. The cubic root of 53430528 is about 376.6429319979.

The spelling of 53430528 in words is "fifty-three million, four hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 696 768 928 1392 1856 2399 2784 3712 4798 5568 7197 7424 9596 11136 14394 19192 22272 28788 38384 57576 69571 76768 115152 139142 153536 208713 230304 278284 307072 417426 460608 556568 614144 834852 921216 1113136 1669704 1842432 2226272 3339408 4452544 6678816 8905088 13357632 17810176 26715264 53430528