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5752344 = 23313103179
BaseRepresentation
bin10101111100011000011000
3101211020201210
4111330120120
52433033334
6323143120
766615453
oct25743030
911736653
105752344
113279904
121b14aa0
131265370
14a9a49a
157895e9
hex57c618

5752344 has 64 divisors (see below), whose sum is σ = 15724800. Its totient is φ = 1742976.

The previous prime is 5752343. The next prime is 5752363. The reversal of 5752344 is 4432575.

It is a super-2 number, since 2×57523442 = 66178922988672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (16800) is a multiple of the sum of its prime divisors (300).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5752343) 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, 32047 + ... + 32225.

It is an arithmetic number, because the mean of its divisors is an integer number (245700).

Almost surely, 25752344 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 5752344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7862400).

5752344 is an abundant number, since it is smaller than the sum of its proper divisors (9972456).

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

5752344 is a wasteful number, since it uses less digits than its factorization.

5752344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 300 counting only the distinct ones).

The product of its digits is 16800, while the sum is 30.

The square root of 5752344 is about 2398.4044696423. The cubic root of 5752344 is about 179.1767341978.

The spelling of 5752344 in words is "five million, seven hundred fifty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 103 104 156 179 206 309 312 358 412 537 618 716 824 1074 1236 1339 1432 2148 2327 2472 2678 4017 4296 4654 5356 6981 8034 9308 10712 13962 16068 18437 18616 27924 32136 36874 55311 55848 73748 110622 147496 221244 239681 442488 479362 719043 958724 1438086 1917448 2876172 5752344