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5165856 = 25341993
BaseRepresentation
bin10011101101001100100000
3100201110020000
4103231030200
52310301411
6302420000
761623543
oct23551440
910643200
105165856
112a09203
121891600
1310bb427
1498685a
156c0956
hex4ed320

5165856 has 60 divisors (see below), whose sum is σ = 15200262. Its totient is φ = 1721088.

The previous prime is 5165833. The next prime is 5165887. The reversal of 5165856 is 6585615.

It can be written as a sum of positive squares in only one way, i.e., 3920400 + 1245456 = 1980^2 + 1116^2 .

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 5165856.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1596 + ... + 3588.

Almost surely, 25165856 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 5165856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7600131).

5165856 is an abundant number, since it is smaller than the sum of its proper divisors (10034406).

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

5165856 is a wasteful number, since it uses less digits than its factorization.

5165856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 1998 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 5165856 is about 2272.8519529437. The cubic root of 5165856 is about 172.8677974705.

The spelling of 5165856 in words is "five million, one hundred sixty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1993 2592 3986 5979 7972 11958 15944 17937 23916 31888 35874 47832 53811 63776 71748 95664 107622 143496 161433 191328 215244 286992 322866 430488 573984 645732 860976 1291464 1721952 2582928 5165856