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52503520 = 2552391373
BaseRepresentation
bin1100100001001…
…0001111100000
310122210110021211
43020102033200
5101420103040
65113155504
71205162326
oct310221740
9118713254
1052503520
1127700743
12156bbb94
13ab53a94
146d89d16
1549218ea
hex32123e0

52503520 has 48 divisors (see below), whose sum is σ = 124649280. Its totient is φ = 20898304.

The previous prime is 52503487. The next prime is 52503523. The reversal of 52503520 is 2530525.

It is a super-2 number, since 2×525035202 = 5513239224780800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52503491 and 52503500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52503523) 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, 37554 + ... + 38926.

It is an arithmetic number, because the mean of its divisors is an integer number (2596860).

Almost surely, 252503520 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 52503520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62324640).

52503520 is an abundant number, since it is smaller than the sum of its proper divisors (72145760).

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

52503520 is a wasteful number, since it uses less digits than its factorization.

52503520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The square root of 52503520 is about 7245.9312721002. The cubic root of 52503520 is about 374.4519876916.

The spelling of 52503520 in words is "fifty-two million, five hundred three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 239 478 956 1195 1373 1912 2390 2746 3824 4780 5492 6865 7648 9560 10984 13730 19120 21968 27460 38240 43936 54920 109840 219680 328147 656294 1312588 1640735 2625176 3281470 5250352 6562940 10500704 13125880 26251760 52503520