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5079464 = 23133172
BaseRepresentation
bin10011011000000110101000
3100120001201022
4103120012220
52300020324
6300512012
761113635
oct23300650
910501638
105079464
11295a305
12184b608
13108b000
1496318c
156a505e
hex4d81a8

5079464 has 48 divisors (see below), whose sum is σ = 10959900. Its totient is φ = 2206464.

The previous prime is 5079433. The next prime is 5079493. The reversal of 5079464 is 4649705.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 52900 + 5026564 = 230^2 + 2242^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 298784 + ... + 298800.

Almost surely, 25079464 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 5079464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5479950).

5079464 is an abundant number, since it is smaller than the sum of its proper divisors (5880436).

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

5079464 is a wasteful number, since it uses less digits than its factorization.

5079464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 5079464 is about 2253.7666250080. The cubic root of 5079464 is about 171.8987144799.

The spelling of 5079464 in words is "five million, seventy-nine thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 289 338 442 578 676 884 1156 1352 1768 2197 2312 2873 3757 4394 5746 7514 8788 11492 15028 17576 22984 30056 37349 48841 74698 97682 149396 195364 298792 390728 634933 1269866 2539732 5079464