Search a number
-
+
903145796 = 227476710243
BaseRepresentation
bin110101110101001…
…110100101000100
32022221102120010022
4311311032211010
53322201131141
6225341314312
731244420060
oct6565164504
92287376108
10903145796
11423890893
12212565998
131151584c7
1487d38aa0
155444db4b
hex35d4e944

903145796 has 48 divisors (see below), whose sum is σ = 1872439296. Its totient is φ = 373136544.

The previous prime is 903145783. The next prime is 903145799. The reversal of 903145796 is 697541309.

903145796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (903145799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83051 + ... + 93293.

It is an arithmetic number, because the mean of its divisors is an integer number (39009152).

Almost surely, 2903145796 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 903145796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936219648).

903145796 is an abundant number, since it is smaller than the sum of its proper divisors (969293500).

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

903145796 is a wasteful number, since it uses less digits than its factorization.

903145796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10368 (or 10366 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 903145796 is about 30052.3841982629. The cubic root of 903145796 is about 966.6129774911.

The spelling of 903145796 in words is "nine hundred three million, one hundred forty-five thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 14 28 47 67 94 134 188 268 329 469 658 938 1316 1876 3149 6298 10243 12596 20486 22043 40972 44086 71701 88172 143402 286804 481421 686281 962842 1372562 1925684 2745124 3369947 4803967 6739894 9607934 13479788 19215868 32255207 64510414 129020828 225786449 451572898 903145796