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5659872 = 2531929107
BaseRepresentation
bin10101100101110011100000
3101122112212220
4111211303200
52422103442
6321151040
766052041
oct25456340
911575786
105659872
113216389
121a8b480
13123224a
14a748c8
1576beec
hex565ce0

5659872 has 96 divisors (see below), whose sum is σ = 16329600. Its totient is φ = 1709568.

The previous prime is 5659859. The next prime is 5659873. The reversal of 5659872 is 2789565.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

Its product of digits (151200) is a multiple of the sum of its prime divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5659873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52843 + ... + 52949.

It is an arithmetic number, because the mean of its divisors is an integer number (170100).

Almost surely, 25659872 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 5659872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8164800).

5659872 is an abundant number, since it is smaller than the sum of its proper divisors (10669728).

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

5659872 is a wasteful number, since it uses less digits than its factorization.

5659872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 5659872 is about 2379.0485493155. The cubic root of 5659872 is about 178.2114223904.

The spelling of 5659872 in words is "five million, six hundred fifty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 76 87 96 107 114 116 152 174 214 228 232 304 321 348 428 456 464 551 608 642 696 856 912 928 1102 1284 1392 1653 1712 1824 2033 2204 2568 2784 3103 3306 3424 4066 4408 5136 6099 6206 6612 8132 8816 9309 10272 12198 12412 13224 16264 17632 18618 24396 24824 26448 32528 37236 48792 49648 52896 58957 65056 74472 97584 99296 117914 148944 176871 195168 235828 297888 353742 471656 707484 943312 1414968 1886624 2829936 5659872