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484432 = 241317137
BaseRepresentation
bin1110110010001010000
3220121111221
41312101100
5111000212
614214424
74055224
oct1662120
9817457
10484432
11300a63
121b4414
1313c660
14c8784
1598807
hex76450

484432 has 40 divisors (see below), whose sum is σ = 1078056. Its totient is φ = 208896.

The previous prime is 484417. The next prime is 484439. The reversal of 484432 is 234484.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 414736 = 264^2 + 644^2 .

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 484397 and 484406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484439) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3468 + ... + 3604.

484432 is a Friedman number, since it can be written as 4*(348^2+4), using all its digits and the basic arithmetic operations.

2484432 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 484432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539028).

484432 is an abundant number, since it is smaller than the sum of its proper divisors (593624).

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

484432 is a wasteful number, since it uses less digits than its factorization.

484432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 169 counting only the distinct ones).

The product of its digits is 3072, while the sum is 25.

The square root of 484432 is about 696.0114941580. The cubic root of 484432 is about 78.5375967687.

The spelling of 484432 in words is "four hundred eighty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 137 208 221 272 274 442 548 884 1096 1768 1781 2192 2329 3536 3562 4658 7124 9316 14248 18632 28496 30277 37264 60554 121108 242216 484432