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5303628 = 22321159227
BaseRepresentation
bin10100001110110101001100
3100222110012200
4110032311030
52324204003
6305401500
763036321
oct24166514
910873180
105303628
112aa2770
121939290
131139055
149c0b48
156eb6a3
hex50ed4c

5303628 has 72 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 1572960.

The previous prime is 5303587. The next prime is 5303633. The reversal of 5303628 is 8263035.

5303628 is a `hidden beast` number, since 5 + 30 + 3 + 628 = 666.

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, 23251 + ... + 23477.

It is an arithmetic number, because the mean of its divisors is an integer number (207480).

Almost surely, 25303628 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 5303628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

5303628 is an abundant number, since it is smaller than the sum of its proper divisors (9634932).

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

5303628 is a wasteful number, since it uses less digits than its factorization.

5303628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5303628 is about 2302.9607030950. The cubic root of 5303628 is about 174.3911138614.

The spelling of 5303628 in words is "five million, three hundred three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 132 177 198 227 236 354 396 454 531 649 681 708 908 1062 1298 1362 1947 2043 2124 2497 2596 2724 3894 4086 4994 5841 7491 7788 8172 9988 11682 13393 14982 22473 23364 26786 29964 40179 44946 53572 80358 89892 120537 147323 160716 241074 294646 441969 482148 589292 883938 1325907 1767876 2651814 5303628