Search a number
-
+
99055872 = 283417281
BaseRepresentation
bin1011110011101…
…11100100000000
320220101120010000
411321313210000
5200324241442
613455040000
72311650426
oct571674400
9226346100
1099055872
1150a07163
1229210000
13176a2b56
14d227116
158a69d4c
hex5e77900

99055872 has 180 divisors, whose sum is σ = 313854156. Its totient is φ = 30965760.

The previous prime is 99055861. The next prime is 99055937. The reversal of 99055872 is 27855099.

It is a happy number.

99055872 is a `hidden beast` number, since 9 + 90 + 558 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72182016 + 26873856 = 8496^2 + 5184^2 .

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 19 ways as a sum of consecutive naturals, for example, 352372 + ... + 352652.

Almost surely, 299055872 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 99055872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156927078).

99055872 is an abundant number, since it is smaller than the sum of its proper divisors (214798284).

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

99055872 is a wasteful number, since it uses less digits than its factorization.

99055872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 99055872 is about 9952.6816486814. The cubic root of 99055872 is about 462.6935106476.

The spelling of 99055872 in words is "ninety-nine million, fifty-five thousand, eight hundred seventy-two".