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5628096 = 26333257
BaseRepresentation
bin10101011110000011000000
3101120221022000
4111132003000
52420044341
6320344000
765560305
oct25360300
911527260
105628096
1131a4521
121a75000
131220946
14a670ac
157628b6
hex55e0c0

5628096 has 56 divisors (see below), whose sum is σ = 16550640. Its totient is φ = 1875456.

The previous prime is 5628089. The next prime is 5628101. The reversal of 5628096 is 6908265.

5628096 is a `hidden beast` number, since 562 + 8 + 0 + 96 = 666.

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 5628096.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100 + ... + 3356.

Almost surely, 25628096 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 5628096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8275320).

5628096 is an abundant number, since it is smaller than the sum of its proper divisors (10922544).

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

5628096 is a wasteful number, since it uses less digits than its factorization.

5628096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3262 counting only the distinct ones).

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

The square root of 5628096 is about 2372.3608494493. The cubic root of 5628096 is about 177.8772878080.

The spelling of 5628096 in words is "five million, six hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 3257 6514 9771 13028 19542 26056 29313 39084 52112 58626 78168 87939 104224 117252 156336 175878 208448 234504 312672 351756 469008 625344 703512 938016 1407024 1876032 2814048 5628096