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5658144 = 253173467
BaseRepresentation
bin10101100101011000100000
3101122110111220
4111211120200
52422030034
6321135040
766044022
oct25453040
911573456
105658144
113215058
121a8a480
13123151b
14a74012
1576b749
hex565620

5658144 has 48 divisors (see below), whose sum is σ = 15730848. Its totient is φ = 1774592.

The previous prime is 5658139. The next prime is 5658187. The reversal of 5658144 is 4418565.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102 + ... + 3365.

It is an arithmetic number, because the mean of its divisors is an integer number (327726).

Almost surely, 25658144 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 5658144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7865424).

5658144 is an abundant number, since it is smaller than the sum of its proper divisors (10072704).

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

5658144 is a wasteful number, since it uses less digits than its factorization.

5658144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3489 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 5658144 is about 2378.6853511972. The cubic root of 5658144 is about 178.1932841308.

The spelling of 5658144 in words is "five million, six hundred fifty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 3467 6934 10401 13868 20802 27736 41604 55472 58939 83208 110944 117878 166416 176817 235756 332832 353634 471512 707268 943024 1414536 1886048 2829072 5658144