Search a number
-
+
900949904 = 241911326227
BaseRepresentation
bin110101101100110…
…110011110010000
32022210021222220222
4311230312132100
53321120344104
6225222252212
731216643051
oct6554663620
92283258828
10900949904
11422620aa8
12211887068
13114869b6a
1487926728
15541681be
hex35b36790

900949904 has 40 divisors (see below), whose sum is σ = 1853795040. Its totient is φ = 422972928.

The previous prime is 900949897. The next prime is 900949927. The reversal of 900949904 is 409949009.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21239 + ... + 47465.

It is an arithmetic number, because the mean of its divisors is an integer number (46344876).

Almost surely, 2900949904 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 900949904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926897520).

900949904 is an abundant number, since it is smaller than the sum of its proper divisors (952845136).

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

900949904 is a wasteful number, since it uses less digits than its factorization.

900949904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26367 (or 26361 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 44.

The square root of 900949904 is about 30015.8275581401. The cubic root of 900949904 is about 965.8289400719.

The spelling of 900949904 in words is "nine hundred million, nine hundred forty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 19 38 76 113 152 226 304 452 904 1808 2147 4294 8588 17176 26227 34352 52454 104908 209816 419632 498313 996626 1993252 2963651 3986504 5927302 7973008 11854604 23709208 47418416 56309369 112618738 225237476 450474952 900949904