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5602896 = 2432134173
BaseRepresentation
bin10101010111111001010000
3101112122201200
4111113321100
52413243041
6320031200
765423655
oct25277120
911478650
105602896
1131875a2
121a62500
131212330
14a5bc2c
1575a1b6
hex557e50

5602896 has 120 divisors (see below), whose sum is σ = 17535336. Its totient is φ = 1658880.

The previous prime is 5602871. The next prime is 5602897. The reversal of 5602896 is 6982065.

5602896 is a `hidden beast` number, since 560 + 2 + 8 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14400 + 5588496 = 120^2 + 2364^2 .

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 5602896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5602897) 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, 76716 + ... + 76788.

Almost surely, 25602896 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 5602896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8767668).

5602896 is an abundant number, since it is smaller than the sum of its proper divisors (11932440).

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

5602896 is a wasteful number, since it uses less digits than its factorization.

5602896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5602896 is about 2367.0437258319. The cubic root of 5602896 is about 177.6114066207.

The spelling of 5602896 in words is "five million, six hundred two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 41 48 52 72 73 78 82 104 117 123 144 146 156 164 208 219 234 246 292 312 328 369 438 468 492 533 584 624 656 657 738 876 936 949 984 1066 1168 1314 1476 1599 1752 1872 1898 1968 2132 2628 2847 2952 2993 3198 3504 3796 4264 4797 5256 5694 5904 5986 6396 7592 8528 8541 8979 9594 10512 11388 11972 12792 15184 17082 17958 19188 22776 23944 25584 26937 34164 35916 38376 38909 45552 47888 53874 68328 71832 76752 77818 107748 116727 136656 143664 155636 215496 233454 311272 350181 430992 466908 622544 700362 933816 1400724 1867632 2801448 5602896