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5093712 = 243313907
BaseRepresentation
bin10011011011100101010000
3100120210021000
4103123211100
52300444322
6301102000
761203321
oct23334520
910523230
105093712
112969a88
121857900
131094640
14968448
156a93ac
hex4db950

5093712 has 80 divisors (see below), whose sum is σ = 15762880. Its totient is φ = 1565568.

The previous prime is 5093689. The next prime is 5093713. The reversal of 5093712 is 2173905.

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 (5093713) 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 15 ways as a sum of consecutive naturals, for example, 5163 + ... + 6069.

It is an arithmetic number, because the mean of its divisors is an integer number (197036).

Almost surely, 25093712 is an apocalyptic number.

5093712 is a gapful number since it is divisible by the number (52) 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 5093712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7881440).

5093712 is an abundant number, since it is smaller than the sum of its proper divisors (10669168).

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

5093712 is a wasteful number, since it uses less digits than its factorization.

5093712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 5093712 is about 2256.9253421414. The cubic root of 5093712 is about 172.0592908987.

The spelling of 5093712 in words is "five million, ninety-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 907 936 1404 1814 1872 2721 2808 3628 5442 5616 7256 8163 10884 11791 14512 16326 21768 23582 24489 32652 35373 43536 47164 48978 65304 70746 94328 97956 106119 130608 141492 188656 195912 212238 282984 318357 391824 424476 565968 636714 848952 1273428 1697904 2546856 5093712