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5608736 = 257473
BaseRepresentation
bin10101011001010100100000
3101112221201222
4111121110200
52413434421
6320114212
765450000
oct25312440
911487658
105608736
113190a21
121a65968
131214ba3
14a60000
1575bcab
hex559520

5608736 has 60 divisors (see below), whose sum is σ = 13058262. Its totient is φ = 2370816.

The previous prime is 5608727. The next prime is 5608741. The reversal of 5608736 is 6378065.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 4648336 + 960400 = 2156^2 + 980^2 .

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 5608696 and 5608705.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76796 + ... + 76868.

Almost surely, 25608736 is an apocalyptic number.

5608736 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 5608736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6529131).

5608736 is an abundant number, since it is smaller than the sum of its proper divisors (7449526).

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

5608736 is an frugal number, since it uses more digits than its factorization.

5608736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 5608736 is about 2368.2770108245. The cubic root of 5608736 is about 177.6730943884.

The spelling of 5608736 in words is "five million, six hundred eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 73 98 112 146 196 224 292 343 392 511 584 686 784 1022 1168 1372 1568 2044 2336 2401 2744 3577 4088 4802 5488 7154 8176 9604 10976 14308 16352 19208 25039 28616 38416 50078 57232 76832 100156 114464 175273 200312 350546 400624 701092 801248 1402184 2804368 5608736