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5372064 = 253223811
BaseRepresentation
bin10100011111100010100000
3101002221002100
4110133202200
52333401224
6311050400
763442665
oct24374240
911087070
105372064
11303a125
121970a00
131161249
149dba6c
15711ac9
hex51f8a0

5372064 has 72 divisors (see below), whose sum is σ = 15960672. Its totient is φ = 1710720.

The previous prime is 5372063. The next prime is 5372077. The reversal of 5372064 is 4602735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (5372063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6219 + ... + 7029.

It is an arithmetic number, because the mean of its divisors is an integer number (221676).

Almost surely, 25372064 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 5372064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7980336).

5372064 is an abundant number, since it is smaller than the sum of its proper divisors (10588608).

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

5372064 is a wasteful number, since it uses less digits than its factorization.

5372064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5372064 is about 2317.7713433383. The cubic root of 5372064 is about 175.1380027089.

Adding to 5372064 its reverse (4602735), we get a palindrome (9974799).

It can be divided in two parts, 537 and 2064, that added together give a square (2601 = 512).

The spelling of 5372064 in words is "five million, three hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 811 828 1104 1622 1656 2208 2433 3244 3312 4866 6488 6624 7299 9732 12976 14598 18653 19464 25952 29196 37306 38928 55959 58392 74612 77856 111918 116784 149224 167877 223836 233568 298448 335754 447672 596896 671508 895344 1343016 1790688 2686032 5372064