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5208084 = 22337832
BaseRepresentation
bin10011110111100000010100
3100210121011000
4103313200110
52313124314
6303343300
762160630
oct23674024
910717130
105208084
112a37a02
1218b1b30
13110470b
14997dc0
156cd209
hex4f7814

5208084 has 72 divisors (see below), whose sum is σ = 15619520. Its totient is φ = 1470096.

The previous prime is 5208079. The next prime is 5208131. The reversal of 5208084 is 4808025.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 62707 + ... + 62789.

Almost surely, 25208084 is an apocalyptic number.

5208084 is a gapful number since it is divisible by the number (54) 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 5208084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809760).

5208084 is an abundant number, since it is smaller than the sum of its proper divisors (10411436).

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

5208084 is a wasteful number, since it uses less digits than its factorization.

5208084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5208084 is about 2282.1226960880. The cubic root of 5208084 is about 173.3375524943.

The spelling of 5208084 in words is "five million, two hundred eight thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 83 84 108 126 166 189 249 252 332 378 498 581 747 756 996 1162 1494 1743 2241 2324 2988 3486 4482 5229 6889 6972 8964 10458 13778 15687 20667 20916 27556 31374 41334 48223 62001 62748 82668 96446 124002 144669 186003 192892 248004 289338 372006 434007 578676 744012 868014 1302021 1736028 2604042 5208084