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5263632 = 2432113323
BaseRepresentation
bin10100000101000100010000
3100220102100100
4110011010100
52321414012
6304452400
762511603
oct24050420
910812310
105263632
112a75710
12191a100
131123a9a
149b033a
156de8dc
hex505110

5263632 has 60 divisors (see below), whose sum is σ = 16074864. Its totient is φ = 1594560.

The previous prime is 5263631. The next prime is 5263637. The reversal of 5263632 is 2363625.

5263632 is a `hidden beast` number, since 5 + 26 + 3 + 632 = 666.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5263596 and 5263605.

It is not an unprimeable number, because it can be changed into a prime (5263631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78 + ... + 3245.

Almost surely, 25263632 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 5263632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8037432).

5263632 is an abundant number, since it is smaller than the sum of its proper divisors (10811232).

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

5263632 is a wasteful number, since it uses less digits than its factorization.

5263632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3339 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 5263632 is about 2294.2606652253. The cubic root of 5263632 is about 173.9516314230.

The spelling of 5263632 in words is "five million, two hundred sixty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 3323 6646 9969 13292 19938 26584 29907 36553 39876 53168 59814 73106 79752 109659 119628 146212 159504 219318 239256 292424 328977 438636 478512 584848 657954 877272 1315908 1754544 2631816 5263632