Search a number
-
+
9025658928 = 24341113311571
BaseRepresentation
bin10000110011111100…
…01010000000110000
3212022000100222110000
420121332022000300
5121441032041203
64051335110000
7436443556266
oct103176120060
925260328400
109025658928
113911827160
1218ba812300
13b0ab953b0
146189b4436
1537c5994a3
hex219f8a030

9025658928 has 400 divisors, whose sum is σ = 31699971072. Its totient is φ = 2441664000.

The previous prime is 9025658911. The next prime is 9025658933. The reversal of 9025658928 is 8298565209.

9025658928 is a `hidden beast` number, since 9 + 0 + 2 + 56 + 589 + 2 + 8 = 666.

It is a super-2 number, since 2×90256589282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 5744383 + ... + 5745953.

Almost surely, 29025658928 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 9025658928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15849985536).

9025658928 is an abundant number, since it is smaller than the sum of its proper divisors (22674312144).

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

9025658928 is a wasteful number, since it uses less digits than its factorization.

9025658928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 9025658928 is about 95003.4679788059. The cubic root of 9025658928 is about 2082.0587148853.

The spelling of 9025658928 in words is "nine billion, twenty-five million, six hundred fifty-eight thousand, nine hundred twenty-eight".