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474944 = 2641181
BaseRepresentation
bin1110011111101000000
3220010111112
41303331000
5110144234
614102452
74015451
oct1637500
9803445
10474944
112a4918
121aaa28
13138242
14c5128
1595ace
hex73f40

474944 has 28 divisors (see below), whose sum is σ = 970788. Its totient is φ = 230400.

The previous prime is 474941. The next prime is 474949. The reversal of 474944 is 449474.

It can be written as a sum of positive squares in 2 ways, for example, as 12544 + 462400 = 112^2 + 680^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (16128) is a multiple of the sum of its prime divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 474944.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 474944.

It is not an unprimeable number, because it can be changed into a prime (474941) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2534 + ... + 2714.

It is an arithmetic number, because the mean of its divisors is an integer number (34671).

2474944 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 474944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485394).

474944 is an abundant number, since it is smaller than the sum of its proper divisors (495844).

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

474944 is a wasteful number, since it uses less digits than its factorization.

474944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 474944 is about 689.1618097370. The cubic root of 474944 is about 78.0214711874.

The spelling of 474944 in words is "four hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 181 328 362 656 724 1312 1448 2624 2896 5792 7421 11584 14842 29684 59368 118736 237472 474944