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5693632 = 26771179
BaseRepresentation
bin10101101110000011000000
3101201021012021
4111232003000
52424144012
6322011224
766252340
oct25560300
911637167
105693632
11323978a
121aa6b14
131244719
14a82d20
15777007
hex56e0c0

5693632 has 56 divisors (see below), whose sum is σ = 13167360. Its totient is φ = 2392320.

The previous prime is 5693621. The next prime is 5693641. The reversal of 5693632 is 2363965.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×56936323 (a number of 21 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 5 + 66 + 93 + 310 + 67 + 314 + 219 .

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, 31719 + ... + 31897.

Almost surely, 25693632 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 5693632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583680).

5693632 is an abundant number, since it is smaller than the sum of its proper divisors (7473728).

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

5693632 is a wasteful number, since it uses less digits than its factorization.

5693632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its digits is 29160, while the sum is 34.

The square root of 5693632 is about 2386.1332737297. The cubic root of 5693632 is about 178.5650519933.

The spelling of 5693632 in words is "five million, six hundred ninety-three thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 179 224 284 358 448 497 568 716 994 1136 1253 1432 1988 2272 2506 2864 3976 4544 5012 5728 7952 10024 11456 12709 15904 20048 25418 31808 40096 50836 80192 88963 101672 177926 203344 355852 406688 711704 813376 1423408 2846816 5693632