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5909472 = 253217271
BaseRepresentation
bin10110100010101111100000
3102010020021100
4112202233200
53003100342
6330354400
7101141532
oct26425740
912106240
105909472
113376968
121b8ba00
1312bba3a
14adb852
157bae4c
hex5a2be0

5909472 has 108 divisors (see below), whose sum is σ = 18103176. Its totient is φ = 1827840.

The previous prime is 5909429. The next prime is 5909473. The reversal of 5909472 is 2749095.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5909473) 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 17 ways as a sum of consecutive naturals, for example, 83197 + ... + 83267.

It is an arithmetic number, because the mean of its divisors is an integer number (167622).

Almost surely, 25909472 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 5909472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9051588).

5909472 is an abundant number, since it is smaller than the sum of its proper divisors (12193704).

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

5909472 is a wasteful number, since it uses less digits than its factorization.

5909472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5909472 is about 2430.9405587138. The cubic root of 5909472 is about 180.7935335876.

The spelling of 5909472 in words is "five million, nine hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 71 72 96 102 136 142 144 153 204 213 272 284 288 289 306 408 426 544 568 578 612 639 816 852 867 1136 1156 1207 1224 1278 1632 1704 1734 2272 2312 2414 2448 2556 2601 3408 3468 3621 4624 4828 4896 5112 5202 6816 6936 7242 9248 9656 10224 10404 10863 13872 14484 19312 20448 20519 20808 21726 27744 28968 38624 41038 41616 43452 57936 61557 82076 83232 86904 115872 123114 164152 173808 184671 246228 328304 347616 369342 492456 656608 738684 984912 1477368 1969824 2954736 5909472