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9428896 = 25232557
BaseRepresentation
bin100011111101…
…111110100000
3122202001000101
4203331332200
54403211041
6534032144
7143100331
oct43757640
918661011
109428896
115360084
1231a8654
131c51939
141376288
15c63b31
hex8fdfa0

9428896 has 36 divisors (see below), whose sum is σ = 19440162. Its totient is φ = 4501376.

The previous prime is 9428879. The next prime is 9428917. The reversal of 9428896 is 6988249.

It can be written as a sum of positive squares in only one way, i.e., 9217296 + 211600 = 3036^2 + 460^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16650 + ... + 17206.

Almost surely, 29428896 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 9428896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9720081).

9428896 is an abundant number, since it is smaller than the sum of its proper divisors (10011266).

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

9428896 is a wasteful number, since it uses less digits than its factorization.

9428896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 582 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The square root of 9428896 is about 3070.6507453633. The cubic root of 9428896 is about 211.2614624454.

The spelling of 9428896 in words is "nine million, four hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 557 736 1058 1114 2116 2228 4232 4456 8464 8912 12811 16928 17824 25622 51244 102488 204976 294653 409952 589306 1178612 2357224 4714448 9428896