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16312992 = 253251677
BaseRepresentation
bin111110001110…
…101010100000
31010200210012220
4332032222200
513134003432
61341351040
7255441513
oct76165240
933623186
1016312992
119232213
125568480
1334c2177
142248d7a
15167372c
hexf8eaa0

16312992 has 48 divisors (see below), whose sum is σ = 43055712. Its totient is φ = 5408000.

The previous prime is 16312991. The next prime is 16313021. The reversal of 16312992 is 29921361.

16312992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×163129923 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (16312991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23758 + ... + 24434.

It is an arithmetic number, because the mean of its divisors is an integer number (896994).

Almost surely, 216312992 is an apocalyptic number.

16312992 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 16312992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21527856).

16312992 is an abundant number, since it is smaller than the sum of its proper divisors (26742720).

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

16312992 is a wasteful number, since it uses less digits than its factorization.

16312992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 933 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 16312992 is about 4038.9345129625. The cubic root of 16312992 is about 253.6167158191.

The spelling of 16312992 in words is "sixteen million, three hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 251 502 677 753 1004 1354 1506 2008 2031 2708 3012 4016 4062 5416 6024 8032 8124 10832 12048 16248 21664 24096 32496 64992 169927 339854 509781 679708 1019562 1359416 2039124 2718832 4078248 5437664 8156496 16312992