Search a number
-
+
5252832 = 2532132361
BaseRepresentation
bin10100000010011011100000
3100212212112100
4110002123200
52321042312
6304330400
762435244
oct24023340
910785470
105252832
112a68592
121913a00
13111bbb0
149aa424
156db5dc
hex5026e0

5252832 has 144 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 1520640.

The previous prime is 5252831. The next prime is 5252839. The reversal of 5252832 is 2382525.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 5252796 and 5252805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5252831) 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, 86082 + ... + 86142.

It is an arithmetic number, because the mean of its divisors is an integer number (118482).

Almost surely, 25252832 is an apocalyptic number.

5252832 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 5252832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

5252832 is an abundant number, since it is smaller than the sum of its proper divisors (11808576).

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

5252832 is a wasteful number, since it uses less digits than its factorization.

5252832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 102 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 5252832 is about 2291.9057572248. The cubic root of 5252832 is about 173.8325777615.

It can be divided in two parts, 5252 and 832, that added together give a square (6084 = 782).

The spelling of 5252832 in words is "five million, two hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 61 69 72 78 92 96 104 117 122 138 144 156 183 184 207 208 234 244 276 288 299 312 366 368 414 416 468 488 549 552 598 624 732 736 793 828 897 936 976 1098 1104 1196 1248 1403 1464 1586 1656 1794 1872 1952 2196 2208 2379 2392 2691 2806 2928 3172 3312 3588 3744 4209 4392 4758 4784 5382 5612 5856 6344 6624 7137 7176 8418 8784 9516 9568 10764 11224 12627 12688 14274 14352 16836 17568 18239 19032 21528 22448 25254 25376 28548 28704 33672 36478 38064 43056 44896 50508 54717 57096 67344 72956 76128 86112 101016 109434 114192 134688 145912 164151 202032 218868 228384 291824 328302 404064 437736 583648 656604 875472 1313208 1750944 2626416 5252832