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5358672 = 24321117199
BaseRepresentation
bin10100011100010001010000
3101002020201100
4110130101100
52332434142
6310504400
763355644
oct24342120
911066640
105358672
113030060
121965100
131158117
149d6c24
1570cb4c
hex51c450

5358672 has 120 divisors (see below), whose sum is σ = 17409600. Its totient is φ = 1520640.

The previous prime is 5358643. The next prime is 5358679. The reversal of 5358672 is 2768535.

5358672 is a `hidden beast` number, since 5 + 3 + 586 + 72 = 666.

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 (5358679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26829 + ... + 27027.

It is an arithmetic number, because the mean of its divisors is an integer number (145080).

Almost surely, 25358672 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 5358672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704800).

5358672 is an abundant number, since it is smaller than the sum of its proper divisors (12050928).

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

5358672 is a wasteful number, since it uses less digits than its factorization.

5358672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 232 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5358672 is about 2314.8805584738. The cubic root of 5358672 is about 174.9923479647.

The spelling of 5358672 in words is "five million, three hundred fifty-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 199 204 264 272 306 374 396 398 408 528 561 597 612 748 792 796 816 1122 1194 1224 1496 1584 1592 1683 1791 2189 2244 2388 2448 2992 3184 3366 3383 3582 4378 4488 4776 6567 6732 6766 7164 8756 8976 9552 10149 13134 13464 13532 14328 17512 19701 20298 26268 26928 27064 28656 30447 35024 37213 39402 40596 52536 54128 60894 74426 78804 81192 105072 111639 121788 148852 157608 162384 223278 243576 297704 315216 334917 446556 487152 595408 669834 893112 1339668 1786224 2679336 5358672