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5193888 = 253759131
BaseRepresentation
bin10011110100000010100000
3100202212200020
4103310002200
52312201023
6303153440
762101350
oct23640240
910685606
105193888
112a28277
1218a5880
1310cb10b
14992b60
156c8de3
hex4f40a0

5193888 has 96 divisors (see below), whose sum is σ = 15966720. Its totient is φ = 1447680.

The previous prime is 5193869. The next prime is 5193889. The reversal of 5193888 is 8883915.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5193889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39583 + ... + 39713.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

Almost surely, 25193888 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 5193888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7983360).

5193888 is an abundant number, since it is smaller than the sum of its proper divisors (10772832).

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

5193888 is a wasteful number, since it uses less digits than its factorization.

5193888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its digits is 69120, while the sum is 42.

The square root of 5193888 is about 2279.0103115168. The cubic root of 5193888 is about 173.1799168489.

It can be divided in two parts, 51 and 93888, that added together give a palindrome (93939).

The spelling of 5193888 in words is "five million, one hundred ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 84 96 112 118 131 168 177 224 236 262 336 354 393 413 472 524 672 708 786 826 917 944 1048 1239 1416 1572 1652 1834 1888 2096 2478 2751 2832 3144 3304 3668 4192 4956 5502 5664 6288 6608 7336 7729 9912 11004 12576 13216 14672 15458 19824 22008 23187 29344 30916 39648 44016 46374 54103 61832 88032 92748 108206 123664 162309 185496 216412 247328 324618 370992 432824 649236 741984 865648 1298472 1731296 2596944 5193888