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52536528 = 243211171951
BaseRepresentation
bin1100100001101…
…0010011010000
310122212010120100
43020122103100
5101422132103
65114012400
71205360502
oct310322320
9118763510
1052536528
1127723520
1215717100
13ab65b05
146d97d72
15492b5a3
hex321a4d0

52536528 has 120 divisors (see below), whose sum is σ = 169917696. Its totient is φ = 14976000.

The previous prime is 52536527. The next prime is 52536541. The reversal of 52536528 is 82563525.

It is a happy number.

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 = 52536492 and 52536501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52536527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25953 + ... + 27903.

Almost surely, 252536528 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 52536528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84958848).

52536528 is an abundant number, since it is smaller than the sum of its proper divisors (117381168).

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

52536528 is a wasteful number, since it uses less digits than its factorization.

52536528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1984 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 52536528 is about 7248.2086062696. The cubic root of 52536528 is about 374.5304416185.

It can be divided in two parts, 5253 and 6528, that added together give a triangular number (11781 = T153).

The spelling of 52536528 in words is "fifty-two million, five hundred thirty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 1951 2244 2448 2992 3366 3902 4488 5853 6732 7804 8976 11706 13464 15608 17559 21461 23412 26928 31216 33167 35118 42922 46824 64383 66334 70236 85844 93648 99501 128766 132668 140472 171688 193149 199002 257532 265336 280944 298503 343376 364837 386298 398004 515064 530672 597006 729674 772596 796008 1030128 1094511 1194012 1459348 1545192 1592016 2189022 2388024 2918696 3090384 3283533 4378044 4776048 5837392 6567066 8756088 13134132 17512176 26268264 52536528