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52565328 = 2433271449
BaseRepresentation
bin1100100010000…
…1010101010000
310122220121002000
43020201111100
5101424042303
65114354000
71205540454
oct310412520
9118817060
1052565328
1127743122
121572b900
13ab75c5a
146da4664
154934da3
hex3221550

52565328 has 80 divisors (see below), whose sum is σ = 151776000. Its totient is φ = 17418240.

The previous prime is 52565297. The next prime is 52565339. The reversal of 52565328 is 82356525.

It is a happy number.

It is a super-2 number, since 2×525653282 = 5526227415495168, which contains 22 as substring.

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 = 52565292 and 52565301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116848 + ... + 117296.

It is an arithmetic number, because the mean of its divisors is an integer number (1897200).

Almost surely, 252565328 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 52565328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75888000).

52565328 is an abundant number, since it is smaller than the sum of its proper divisors (99210672).

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

52565328 is a wasteful number, since it uses less digits than its factorization.

52565328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 725 counting only the distinct ones).

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

The square root of 52565328 is about 7250.1950318595. The cubic root of 52565328 is about 374.5988670660.

The spelling of 52565328 in words is "fifty-two million, five hundred sixty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 271 432 449 542 813 898 1084 1347 1626 1796 2168 2439 2694 3252 3592 4041 4336 4878 5388 6504 7184 7317 8082 9756 10776 12123 13008 14634 16164 19512 21552 24246 29268 32328 39024 48492 58536 64656 96984 117072 121679 193968 243358 365037 486716 730074 973432 1095111 1460148 1946864 2190222 2920296 3285333 4380444 5840592 6570666 8760888 13141332 17521776 26282664 52565328