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5293008 = 243275989
BaseRepresentation
bin10100001100001111010000
3100221220122100
4110030033100
52323334013
6305240400
762663340
oct24141720
910856570
105293008
112a95796
121933100
131134276
149bad20
156e8473
hex50c3d0

5293008 has 120 divisors (see below), whose sum is σ = 17409600. Its totient is φ = 1469952.

The previous prime is 5292997. The next prime is 5293009. The reversal of 5293008 is 8003925.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5293009) 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, 59428 + ... + 59516.

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

Almost surely, 25293008 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 5293008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8704800).

5293008 is an abundant number, since it is smaller than the sum of its proper divisors (12116592).

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

5293008 is a wasteful number, since it uses less digits than its factorization.

5293008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5293008 is about 2300.6538201129. The cubic root of 5293008 is about 174.2746356583.

The spelling of 5293008 in words is "five million, two hundred ninety-three thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 59 63 72 84 89 112 118 126 144 168 177 178 236 252 267 336 354 356 413 472 504 531 534 623 708 712 801 826 944 1008 1062 1068 1239 1246 1416 1424 1602 1652 1869 2124 2136 2478 2492 2832 3204 3304 3717 3738 4248 4272 4956 4984 5251 5607 6408 6608 7434 7476 8496 9912 9968 10502 11214 12816 14868 14952 15753 19824 21004 22428 29736 29904 31506 36757 42008 44856 47259 59472 63012 73514 84016 89712 94518 110271 126024 147028 189036 220542 252048 294056 330813 378072 441084 588112 661626 756144 882168 1323252 1764336 2646504 5293008