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52284456 = 23327227457
BaseRepresentation
bin1100011101110…
…0110000101000
310122101022210100
43013130300220
5101341100311
65104345400
71203260550
oct307346050
9118338710
1052284456
11275710a4
1215615260
13aaa8163
146d30160
1548cba56
hex31dcc28

52284456 has 96 divisors (see below), whose sum is σ = 162901440. Its totient is φ = 14840064.

The previous prime is 52284437. The next prime is 52284457. The reversal of 52284456 is 65448225.

It is a happy number.

52284456 is a `hidden beast` number, since 522 + 84 + 4 + 56 = 666.

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 52284456.

It is not an unprimeable number, because it can be changed into a prime (52284457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114180 + ... + 114636.

It is an arithmetic number, because the mean of its divisors is an integer number (1696890).

Almost surely, 252284456 is an apocalyptic number.

52284456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52284456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81450720).

52284456 is an abundant number, since it is smaller than the sum of its proper divisors (110616984).

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

52284456 is a wasteful number, since it uses less digits than its factorization.

52284456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 696 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 52284456 is about 7230.7991259611. The cubic root of 52284456 is about 373.9304778932.

The spelling of 52284456 in words is "fifty-two million, two hundred eighty-four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 227 252 454 457 504 681 908 914 1362 1371 1589 1816 1828 2043 2724 2742 3178 3199 3656 4086 4113 4767 5448 5484 6356 6398 8172 8226 9534 9597 10968 12712 12796 14301 16344 16452 19068 19194 25592 28602 28791 32904 38136 38388 57204 57582 76776 103739 114408 115164 207478 230328 311217 414956 622434 726173 829912 933651 1244868 1452346 1867302 2178519 2489736 2904692 3734604 4357038 5809384 6535557 7469208 8714076 13071114 17428152 26142228 52284456