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53100528 = 24313431979
BaseRepresentation
bin1100101010001…
…1111111110000
310200220210020020
43022203333300
5102043204103
65134043440
71213230015
oct312437760
9120823206
1053100528
1127a79238
1215949580
13b002740
1470a370c
1549dd753
hex32a3ff0

53100528 has 80 divisors (see below), whose sum is σ = 151240320. Its totient is φ = 15950592.

The previous prime is 53100527. The next prime is 53100533. The reversal of 53100528 is 82500135.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 53100498 and 53100507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53100527) 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, 25843 + ... + 27821.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 253100528 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 53100528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75620160).

53100528 is an abundant number, since it is smaller than the sum of its proper divisors (98139792).

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

53100528 is a wasteful number, since it uses less digits than its factorization.

53100528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 53100528 is about 7287.0109098313. The cubic root of 53100528 is about 375.8659171830.

It can be divided in two parts, 53100 and 528, that added together give a triangular number (53628 = T327).

The spelling of 53100528 in words is "fifty-three million, one hundred thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 43 48 52 78 86 104 129 156 172 208 258 312 344 516 559 624 688 1032 1118 1677 1979 2064 2236 3354 3958 4472 5937 6708 7916 8944 11874 13416 15832 23748 25727 26832 31664 47496 51454 77181 85097 94992 102908 154362 170194 205816 255291 308724 340388 411632 510582 617448 680776 1021164 1106261 1234896 1361552 2042328 2212522 3318783 4084656 4425044 6637566 8850088 13275132 17700176 26550264 53100528