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5508672 = 263132207
BaseRepresentation
bin10101000000111001000000
3101100212110220
4111000321000
52402234142
6314023040
764552161
oct25007100
911325426
105508672
113122824
121a17a80
1311ab490
14a35768
1573c2ec
hex540e40

5508672 has 56 divisors (see below), whose sum is σ = 15703296. Its totient is φ = 1694208.

The previous prime is 5508667. The next prime is 5508683. The reversal of 5508672 is 2768055.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1393 + ... + 3599.

It is an arithmetic number, because the mean of its divisors is an integer number (280416).

Almost surely, 25508672 is an apocalyptic number.

5508672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7851648).

5508672 is an abundant number, since it is smaller than the sum of its proper divisors (10194624).

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

5508672 is a wasteful number, since it uses less digits than its factorization.

5508672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 5508672 is about 2347.0560283044. The cubic root of 5508672 is about 176.6101413246.

The spelling of 5508672 in words is "five million, five hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2207 2496 4414 6621 8828 13242 17656 26484 28691 35312 52968 57382 70624 86073 105936 114764 141248 172146 211872 229528 344292 423744 459056 688584 918112 1377168 1836224 2754336 5508672