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5357088 = 2532111989
BaseRepresentation
bin10100011011111000100000
3101002011112200
4110123320200
52332411323
6310453200
763351222
oct24337040
911064480
105357088
113029950
121964200
131157499
149d6412
1570c443
hex51be20

5357088 has 144 divisors (see below), whose sum is σ = 17690400. Its totient is φ = 1520640.

The previous prime is 5357087. The next prime is 5357123. The reversal of 5357088 is 8807535.

It is a happy number.

5357088 is a `hidden beast` number, since 5 + 3 + 570 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (5357087) 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, 60148 + ... + 60236.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

Almost surely, 25357088 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 5357088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845200).

5357088 is an abundant number, since it is smaller than the sum of its proper divisors (12333312).

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

5357088 is a wasteful number, since it uses less digits than its factorization.

5357088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5357088 is about 2314.5383989038. The cubic root of 5357088 is about 174.9751039414.

The spelling of 5357088 in words is "five million, three hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 89 96 99 114 132 144 152 171 176 178 198 209 228 264 267 288 304 342 352 356 396 418 456 528 534 608 627 684 712 792 801 836 912 979 1056 1068 1254 1368 1424 1584 1602 1672 1691 1824 1881 1958 2136 2508 2736 2848 2937 3168 3204 3344 3382 3762 3916 4272 5016 5073 5472 5874 6408 6688 6764 7524 7832 8544 8811 10032 10146 11748 12816 13528 15048 15219 15664 17622 18601 20064 20292 23496 25632 27056 30096 30438 31328 35244 37202 40584 46992 54112 55803 60192 60876 70488 74404 81168 93984 111606 121752 140976 148808 162336 167409 223212 243504 281952 297616 334818 446424 487008 595232 669636 892848 1339272 1785696 2678544 5357088