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16468812 = 2233314919
BaseRepresentation
bin111110110100…
…101101001100
31010222200222000
4332310231030
513204000222
61344552300
7256661013
oct76645514
933880860
1016468812
119329298
125622690
133548079
142289a7a
1516a49ac
hexfb4b4c

16468812 has 48 divisors (see below), whose sum is σ = 44083200. Its totient is φ = 5311440.

The previous prime is 16468799. The next prime is 16468831. The reversal of 16468812 is 21886461.

16468812 is a `hidden beast` number, since 1 + 646 + 8 + 8 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 889 + ... + 5807.

It is an arithmetic number, because the mean of its divisors is an integer number (918400).

Almost surely, 216468812 is an apocalyptic number.

16468812 is a gapful number since it is divisible by the number (12) 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 16468812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22041600).

16468812 is an abundant number, since it is smaller than the sum of its proper divisors (27614388).

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

16468812 is a wasteful number, since it uses less digits than its factorization.

16468812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963 (or 4955 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 16468812 is about 4058.1784090895. The cubic root of 16468812 is about 254.4216651182.

The spelling of 16468812 in words is "sixteen million, four hundred sixty-eight thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 4919 9838 14757 19676 29514 44271 59028 88542 132813 152489 177084 265626 304978 457467 531252 609956 914934 1372401 1829868 2744802 4117203 5489604 8234406 16468812