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16628992 = 28173821
BaseRepresentation
bin111111011011…
…110100000000
31011021211200121
4333123310000
513224111432
61352230024
7261226012
oct77336400
934254617
1016628992
119428676
12569b314
1335a2c53
1422cc1b2
1516d7197
hexfdbd00

16628992 has 36 divisors (see below), whose sum is σ = 35154756. Its totient is φ = 7823360.

The previous prime is 16628951. The next prime is 16628993. The reversal of 16628992 is 29982661.

It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 2611456 = 3744^2 + 1616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16628993) 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 3 ways as a sum of consecutive naturals, for example, 2442 + ... + 6262.

It is an arithmetic number, because the mean of its divisors is an integer number (976521).

Almost surely, 216628992 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 16628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17577378).

16628992 is an abundant number, since it is smaller than the sum of its proper divisors (18525764).

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

16628992 is an equidigital number, since it uses as much as digits as its factorization.

16628992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 3840 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The square root of 16628992 is about 4077.8661086406. The cubic root of 16628992 is about 255.2438625746.

The spelling of 16628992 in words is "sixteen million, six hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 3821 4352 7642 15284 30568 61136 64957 122272 129914 244544 259828 489088 519656 978176 1039312 2078624 4157248 8314496 16628992