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474496 = 2711337
BaseRepresentation
bin1110011110110000000
3220002212221
41303312000
5110140441
614100424
74014241
oct1636600
9802787
10474496
112a4550
121aa714
13137c89
14c4cc8
15958d1
hex73d80

474496 has 32 divisors (see below), whose sum is σ = 1034280. Its totient is φ = 215040.

The previous prime is 474491. The next prime is 474497. The reversal of 474496 is 694474.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 46 + 73 + 48 + 48 + 95 + 67 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474491) 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, 1240 + ... + 1576.

2474496 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 474496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517140).

474496 is an abundant number, since it is smaller than the sum of its proper divisors (559784).

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

474496 is a wasteful number, since it uses less digits than its factorization.

474496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its digits is 24192, while the sum is 34.

The square root of 474496 is about 688.8367005321. The cubic root of 474496 is about 77.9969317224.

The spelling of 474496 in words is "four hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 337 352 674 704 1348 1408 2696 3707 5392 7414 10784 14828 21568 29656 43136 59312 118624 237248 474496