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5108864 = 27167239
BaseRepresentation
bin10011011111010010000000
3100121120001012
4103133102000
52301440424
6301300052
761265435
oct23372200
910546035
105108864
11297a402
121864628
13109b4c7
1496db8c
156adb0e
hex4df480

5108864 has 32 divisors (see below), whose sum is σ = 10281600. Its totient is φ = 2528512.

The previous prime is 5108827. The next prime is 5108879. The reversal of 5108864 is 4688015.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×51088642 = 52200982740992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5108864.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21257 + ... + 21495.

It is an arithmetic number, because the mean of its divisors is an integer number (321300).

Almost surely, 25108864 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 5108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140800).

5108864 is an abundant number, since it is smaller than the sum of its proper divisors (5172736).

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

5108864 is a wasteful number, since it uses less digits than its factorization.

5108864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 5108864 is about 2260.2796287185. The cubic root of 5108864 is about 172.2297272869.

The spelling of 5108864 in words is "five million, one hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 167 239 334 478 668 956 1336 1912 2672 3824 5344 7648 10688 15296 21376 30592 39913 79826 159652 319304 638608 1277216 2554432 5108864