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52285536 = 2532712557
BaseRepresentation
bin1100011101110…
…1000001100000
310122101101021100
43013131001200
5101341114121
65104354400
71203263652
oct307350140
9118341240
1052285536
1127571996
1215615a00
13aaa87b4
146d306d2
1548cc026
hex31dd060

52285536 has 72 divisors (see below), whose sum is σ = 150840144. Its totient is φ = 17176320.

The previous prime is 52285531. The next prime is 52285543. The reversal of 52285536 is 63558225.

It is a happy number.

52285536 is a `hidden beast` number, since 522 + 85 + 53 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 52285536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52285531) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 19170 + ... + 21726.

It is an arithmetic number, because the mean of its divisors is an integer number (2095002).

Almost surely, 252285536 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 52285536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75420072).

52285536 is an abundant number, since it is smaller than the sum of its proper divisors (98554608).

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

52285536 is a wasteful number, since it uses less digits than its factorization.

52285536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2633 counting only the distinct ones).

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

The square root of 52285536 is about 7230.8738061178. The cubic root of 52285536 is about 373.9330525407.

The spelling of 52285536 in words is "fifty-two million, two hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 568 639 852 1136 1278 1704 2272 2556 2557 3408 5112 5114 6816 7671 10224 10228 15342 20448 20456 23013 30684 40912 46026 61368 81824 92052 122736 181547 184104 245472 363094 368208 544641 726188 736416 1089282 1452376 1633923 2178564 2904752 3267846 4357128 5809504 6535692 8714256 13071384 17428512 26142768 52285536