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5628336 = 243722393
BaseRepresentation
bin10101011110000110110000
3101120221121220
4111132012300
52420101321
6320345040
765561100
oct25360660
911527556
105628336
1131a471a
121a75180
131220a9c
14a67200
157629c6
hex55e1b0

5628336 has 60 divisors (see below), whose sum is σ = 16920792. Its totient is φ = 1607424.

The previous prime is 5628331. The next prime is 5628341. The reversal of 5628336 is 6338265.

It is an interprime number because it is at equal distance from previous prime (5628331) and next prime (5628341).

It is a super-2 number, since 2×56283362 = 63356332257792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5628297 and 5628306.

It is not an unprimeable number, because it can be changed into a prime (5628331) 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, 1156 + ... + 3548.

Almost surely, 25628336 is an apocalyptic number.

5628336 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 5628336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460396).

5628336 is an abundant number, since it is smaller than the sum of its proper divisors (11292456).

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

5628336 is a wasteful number, since it uses less digits than its factorization.

5628336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2405 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 5628336 is about 2372.4114314343. The cubic root of 5628336 is about 177.8798161907.

The spelling of 5628336 in words is "five million, six hundred twenty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 2393 4786 7179 9572 14358 16751 19144 28716 33502 38288 50253 57432 67004 100506 114864 117257 134008 201012 234514 268016 351771 402024 469028 703542 804048 938056 1407084 1876112 2814168 5628336