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5312016 = 243237997
BaseRepresentation
bin10100010000111000010000
3100222212201100
4110100320100
52324441031
6305504400
763102633
oct24207020
910885640
105312016
112aa8aa6
121942100
13113cb08
149c3c1a
156edde6
hex510e10

5312016 has 60 divisors (see below), whose sum is σ = 15283372. Its totient is φ = 1721088.

The previous prime is 5311993. The next prime is 5312033. The reversal of 5312016 is 6102135.

5312016 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in 2 ways, for example, as 4665600 + 646416 = 2160^2 + 804^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 5312016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4830 + ... + 5826.

Almost surely, 25312016 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 5312016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641686).

5312016 is an abundant number, since it is smaller than the sum of its proper divisors (9971356).

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

5312016 is a wasteful number, since it uses less digits than its factorization.

5312016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5312016 is about 2304.7811175901. The cubic root of 5312016 is about 174.4830020416.

The spelling of 5312016 in words is "five million, three hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 997 1332 1776 1994 2664 2991 3988 5328 5982 7976 8973 11964 15952 17946 23928 35892 36889 47856 71784 73778 110667 143568 147556 221334 295112 332001 442668 590224 664002 885336 1328004 1770672 2656008 5312016