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53128544 = 2572311093
BaseRepresentation
bin1100101010101…
…0110101100000
310200222012122212
43022222311200
5102100103134
65134421252
71213404500
oct312526540
9120865585
1053128544
1127a98297
1215961828
13b012411
1470ada00
1549e6bce
hex32aad60

53128544 has 72 divisors (see below), whose sum is σ = 125713728. Its totient is φ = 22014720.

The previous prime is 53128529. The next prime is 53128561. The reversal of 53128544 is 44582135.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 53128544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48062 + ... + 49154.

It is an arithmetic number, because the mean of its divisors is an integer number (1746024).

Almost surely, 253128544 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 53128544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62856864).

53128544 is an abundant number, since it is smaller than the sum of its proper divisors (72585184).

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

53128544 is a wasteful number, since it uses less digits than its factorization.

53128544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1133 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 53128544 is about 7288.9329808964. The cubic root of 53128544 is about 375.9320082280.

The spelling of 53128544 in words is "fifty-three million, one hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 248 392 434 496 784 868 992 1093 1519 1568 1736 2186 3038 3472 4372 6076 6944 7651 8744 12152 15302 17488 24304 30604 33883 34976 48608 53557 61208 67766 107114 122416 135532 214228 237181 244832 271064 428456 474362 542128 856912 948724 1084256 1660267 1713824 1897448 3320534 3794896 6641068 7589792 13282136 26564272 53128544