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52541528 = 23133143379
BaseRepresentation
bin1100100001101…
…1100001011000
310122212101102112
43020123201120
5101422312103
65114051452
71205411204
oct310334130
9118771375
1052541528
1127727256
1215719b88
13ab68180
146d99b04
15492ccd8
hex321b858

52541528 has 64 divisors (see below), whose sum is σ = 112358400. Its totient is φ = 22861440.

The previous prime is 52541501. The next prime is 52541539. The reversal of 52541528 is 82514525.

It is a super-2 number, since 2×525415282 = 5521224329149568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52541494 and 52541503.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138443 + ... + 138821.

It is an arithmetic number, because the mean of its divisors is an integer number (1755600).

Almost surely, 252541528 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 52541528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56179200).

52541528 is an abundant number, since it is smaller than the sum of its proper divisors (59816872).

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

52541528 is a wasteful number, since it uses less digits than its factorization.

52541528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 468 counting only the distinct ones).

The product of its digits is 16000, while the sum is 32.

The square root of 52541528 is about 7248.5535108737. The cubic root of 52541528 is about 374.5423228301.

The spelling of 52541528 in words is "fifty-two million, five hundred forty-one thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 13 26 31 43 52 62 86 104 124 172 248 344 379 403 559 758 806 1118 1333 1516 1612 2236 2666 3032 3224 4472 4927 5332 9854 10664 11749 16297 17329 19708 23498 32594 34658 39416 46996 65188 69316 93992 130376 138632 152737 211861 305474 423722 505207 610948 847444 1010414 1221896 1694888 2020828 4041656 6567691 13135382 26270764 52541528