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5083344 = 24337412
BaseRepresentation
bin10011011001000011010000
3100120021001000
4103121003100
52300131334
6300542000
761131150
oct23310320
910507030
105083344
112962212
121851900
13108c9c6
14964760
156a6299
hex4d90d0

5083344 has 120 divisors (see below), whose sum is σ = 17092160. Its totient is φ = 1416960.

The previous prime is 5083343. The next prime is 5083363. The reversal of 5083344 is 4433805.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5083343) 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, 123964 + ... + 124004.

Almost surely, 25083344 is an apocalyptic number.

5083344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5083344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8546080).

5083344 is an abundant number, since it is smaller than the sum of its proper divisors (12008816).

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

5083344 is a wasteful number, since it uses less digits than its factorization.

5083344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5083344 is about 2254.6272419183. The cubic root of 5083344 is about 171.9424721980.

The spelling of 5083344 in words is "five million, eighty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 41 42 48 54 56 63 72 82 84 108 112 123 126 144 164 168 189 216 246 252 287 328 336 369 378 432 492 504 574 656 738 756 861 984 1008 1107 1148 1476 1512 1681 1722 1968 2214 2296 2583 2952 3024 3362 3444 4428 4592 5043 5166 5904 6724 6888 7749 8856 10086 10332 11767 13448 13776 15129 15498 17712 20172 20664 23534 26896 30258 30996 35301 40344 41328 45387 47068 60516 61992 70602 80688 90774 94136 105903 121032 123984 141204 181548 188272 211806 242064 282408 317709 363096 423612 564816 635418 726192 847224 1270836 1694448 2541672 5083344