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5168016 = 243371709
BaseRepresentation
bin10011101101101110010000
3100201120012000
4103231232100
52310334031
6302434000
761633050
oct23555620
910646160
105168016
112a0a897
121892900
1310bc3c9
14987560
156c13e6
hex4edb90

5168016 has 80 divisors (see below), whose sum is σ = 16963200. Its totient is φ = 1475712.

The previous prime is 5167991. The next prime is 5168021. The reversal of 5168016 is 6108615.

5168016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2170 + ... + 3878.

It is an arithmetic number, because the mean of its divisors is an integer number (212040).

Almost surely, 25168016 is an apocalyptic number.

5168016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5168016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8481600).

5168016 is an abundant number, since it is smaller than the sum of its proper divisors (11795184).

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

5168016 is a wasteful number, since it uses less digits than its factorization.

5168016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5168016 is about 2273.3270772152. The cubic root of 5168016 is about 172.8918878576.

The spelling of 5168016 in words is "five million, one hundred sixty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 1709 3024 3418 5127 6836 10254 11963 13672 15381 20508 23926 27344 30762 35889 41016 46143 47852 61524 71778 82032 92286 95704 107667 123048 143556 184572 191408 215334 246096 287112 323001 369144 430668 574224 646002 738288 861336 1292004 1722672 2584008 5168016