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464704 = 2653137
BaseRepresentation
bin1110001011101000000
3212121110021
41301131000
5104332304
613543224
73643552
oct1613500
9777407
10464704
11298159
121a4b14
13133696
14c14d2
1592a54
hex71740

464704 has 28 divisors (see below), whose sum is σ = 946404. Its totient is φ = 226304.

The previous prime is 464699. The next prime is 464741. The reversal of 464704 is 407464.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 304704 + 160000 = 552^2 + 400^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3324 + ... + 3460.

2464704 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 464704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473202).

464704 is an abundant number, since it is smaller than the sum of its proper divisors (481700).

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

464704 is a wasteful number, since it uses less digits than its factorization.

464704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 464704 is about 681.6920125687. The cubic root of 464704 is about 77.4566667221.

The spelling of 464704 in words is "four hundred sixty-four thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 53 64 106 137 212 274 424 548 848 1096 1696 2192 3392 4384 7261 8768 14522 29044 58088 116176 232352 464704