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5237232 = 24371113109
BaseRepresentation
bin10011111110100111110000
3100212002010120
4103332213300
52320042412
6304130240
762341620
oct23764760
910762116
105237232
112a578a0
121906980
131114a70
149a4880
156d6b8c
hex4fe9f0

5237232 has 160 divisors (see below), whose sum is σ = 18332160. Its totient is φ = 1244160.

The previous prime is 5237227. The next prime is 5237237. The reversal of 5237232 is 2327325.

It is an interprime number because it is at equal distance from previous prime (5237227) and next prime (5237237).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 58 + 2 + 37 + 76 + 210 + 312 + 222 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5237237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47994 + ... + 48102.

It is an arithmetic number, because the mean of its divisors is an integer number (114576).

Almost surely, 25237232 is an apocalyptic number.

5237232 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is a pronic number, being equal to 2288×2289.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5237232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9166080).

5237232 is an abundant number, since it is smaller than the sum of its proper divisors (13094928).

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

5237232 is a wasteful number, since it uses less digits than its factorization.

5237232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its digits is 2520, while the sum is 24.

The square root of 5237232 is about 2288.4999453791. The cubic root of 5237232 is about 173.6603229242.

The spelling of 5237232 in words is "five million, two hundred thirty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 109 112 132 143 154 156 168 176 182 208 218 231 264 273 286 308 312 327 336 364 429 436 462 528 546 572 616 624 654 728 763 858 872 924 1001 1092 1144 1199 1232 1308 1417 1456 1526 1716 1744 1848 2002 2184 2288 2289 2398 2616 2834 3003 3052 3432 3597 3696 4004 4251 4368 4578 4796 5232 5668 6006 6104 6864 7194 8008 8393 8502 9156 9592 9919 11336 12012 12208 14388 15587 16016 16786 17004 18312 19184 19838 22672 24024 25179 28776 29757 31174 33572 34008 36624 39676 46761 48048 50358 57552 59514 62348 67144 68016 79352 93522 100716 109109 119028 124696 134288 158704 187044 201432 218218 238056 249392 327327 374088 402864 436436 476112 654654 748176 872872 1309308 1745744 2618616 5237232