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16442900 = 2252164429
BaseRepresentation
bin111110101110…
…011000010100
31010221101102022
4332232120110
513202133100
61344232312
7256522325
oct76563024
933841368
1016442900
119310881
12560b698
133539336
14228044c
15169be85
hexfae614

16442900 has 18 divisors (see below), whose sum is σ = 35681310. Its totient is φ = 6577120.

The previous prime is 16442897. The next prime is 16442917. The reversal of 16442900 is 924461.

It can be written as a sum of positive squares in 3 ways, for example, as 169744 + 16273156 = 412^2 + 4034^2 .

It is a super-3 number, since 3×164429003 (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16442900.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 82115 + ... + 82314.

It is an arithmetic number, because the mean of its divisors is an integer number (1982295).

Almost surely, 216442900 is an apocalyptic number.

16442900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16442900 is an abundant number, since it is smaller than the sum of its proper divisors (19238410).

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

16442900 is a wasteful number, since it uses less digits than its factorization.

16442900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164443 (or 164436 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 16442900 is about 4054.9845869004. The cubic root of 16442900 is about 254.2881595403.

The spelling of 16442900 in words is "sixteen million, four hundred forty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 164429 328858 657716 822145 1644290 3288580 4110725 8221450 16442900