Search a number
-
+
16492992 = 2631731163
BaseRepresentation
bin111110111010…
…100111000000
31011000221010120
4332322213000
513210233432
61345300240
7260121345
oct76724700
934027116
1016492992
11934547a
125634680
133556089
1422947cc
1516abc2c
hexfba9c0

16492992 has 112 divisors (see below), whose sum is σ = 47987712. Its totient is φ = 4976640.

The previous prime is 16492991. The next prime is 16492999. The reversal of 16492992 is 29929461.

It is a super-2 number, since 2×164929922 = 544037570224128, which contains 22 as substring.

Its product of digits (69984) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16492991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101103 + ... + 101265.

Almost surely, 216492992 is an apocalyptic number.

16492992 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 16492992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23993856).

16492992 is an abundant number, since it is smaller than the sum of its proper divisors (31494720).

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

16492992 is a wasteful number, since it uses less digits than its factorization.

16492992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 16492992 is about 4061.1564855346. The cubic root of 16492992 is about 254.5461207156.

The spelling of 16492992 in words is "sixteen million, four hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 136 163 186 192 204 248 272 326 372 408 489 496 527 544 652 744 816 978 992 1054 1088 1304 1488 1581 1632 1956 1984 2108 2608 2771 2976 3162 3264 3912 4216 5053 5216 5542 5952 6324 7824 8313 8432 10106 10432 11084 12648 15159 15648 16626 16864 20212 22168 25296 30318 31296 33252 33728 40424 44336 50592 60636 66504 80848 85901 88672 101184 121272 133008 161696 171802 177344 242544 257703 266016 323392 343604 485088 515406 532032 687208 970176 1030812 1374416 2061624 2748832 4123248 5497664 8246496 16492992