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52584060 = 223517311663
BaseRepresentation
bin1100100010010…
…1111001111100
310122221112202210
43020211321330
5101430142220
65115020420
71205646204
oct310457174
9118845683
1052584060
1127756201
121573a710
13ab81639
146dab404
15493a6e0
hex3225e7c

52584060 has 96 divisors (see below), whose sum is σ = 161021952. Its totient is φ = 12764160.

The previous prime is 52584053. The next prime is 52584061. The reversal of 52584060 is 6048525.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52584061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30789 + ... + 32451.

It is an arithmetic number, because the mean of its divisors is an integer number (1677312).

Almost surely, 252584060 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 52584060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80510976).

52584060 is an abundant number, since it is smaller than the sum of its proper divisors (108437892).

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

52584060 is a wasteful number, since it uses less digits than its factorization.

52584060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 52584060 is about 7251.4867441098. The cubic root of 52584060 is about 374.6433587039.

The spelling of 52584060 in words is "fifty-two million, five hundred eighty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 930 1020 1054 1581 1663 1860 2108 2635 3162 3326 4989 5270 6324 6652 7905 8315 9978 10540 15810 16630 19956 24945 28271 31620 33260 49890 51553 56542 84813 99780 103106 113084 141355 154659 169626 206212 257765 282710 309318 339252 424065 515530 565420 618636 773295 848130 876401 1031060 1546590 1696260 1752802 2629203 3093180 3505604 4382005 5258406 8764010 10516812 13146015 17528020 26292030 52584060