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5252364 = 2234132943
BaseRepresentation
bin10100000010010100001100
3100212211220000
4110002110030
52321033424
6304324300
762434005
oct24022414
910784800
105252364
112a681a7
121913690
13111b910
149aa1ac
156db3c9
hex50250c

5252364 has 120 divisors (see below), whose sum is σ = 15652560. Its totient is φ = 1524096.

The previous prime is 5252363. The next prime is 5252369. The reversal of 5252364 is 4632525.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (7200) is a multiple of the sum of its prime divisors (90).

It is not an unprimeable number, because it can be changed into a prime (5252363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122127 + ... + 122169.

It is an arithmetic number, because the mean of its divisors is an integer number (130438).

Almost surely, 25252364 is an apocalyptic number.

5252364 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 5252364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7826280).

5252364 is an abundant number, since it is smaller than the sum of its proper divisors (10400196).

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

5252364 is a wasteful number, since it uses less digits than its factorization.

5252364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 5252364 is about 2291.8036565116. The cubic root of 5252364 is about 173.8274150821.

Adding to 5252364 its reverse (4632525), we get a palindrome (9884889).

It can be divided in two parts, 525 and 2364, that multiplied together give a triangular number (1241100 = T1575).

The spelling of 5252364 in words is "five million, two hundred fifty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 43 52 54 58 78 81 86 87 108 116 117 129 156 162 172 174 234 258 261 324 348 351 377 387 468 516 522 559 702 754 774 783 1044 1053 1118 1131 1161 1247 1404 1508 1548 1566 1677 2106 2236 2262 2322 2349 2494 3132 3354 3393 3483 3741 4212 4524 4644 4698 4988 5031 6708 6786 6966 7482 9396 10062 10179 11223 13572 13932 14964 15093 16211 20124 20358 22446 30186 30537 32422 33669 40716 44892 45279 48633 60372 61074 64844 67338 90558 97266 101007 122148 134676 145899 181116 194532 202014 291798 404028 437697 583596 875394 1313091 1750788 2626182 5252364