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52215760 = 245432353
BaseRepresentation
bin1100011100101…
…1111111010000
310122020211120001
43013023333100
5101331401020
65103055344
71202553352
oct307137720
9118224501
1052215760
1127524523
12155a1554
13aa82acc
146d130d2
1548b650a
hex31cbfd0

52215760 has 60 divisors (see below), whose sum is σ = 124642692. Its totient is φ = 20342784.

The previous prime is 52215739. The next prime is 52215763. The reversal of 52215760 is 6751225.

It can be written as a sum of positive squares in 2 ways, for example, as 19998784 + 32216976 = 4472^2 + 5676^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52215763) 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, 147744 + ... + 148096.

Almost surely, 252215760 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 52215760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62321346).

52215760 is an abundant number, since it is smaller than the sum of its proper divisors (72426932).

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

52215760 is a wasteful number, since it uses less digits than its factorization.

52215760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 52215760 is about 7226.0473289344. The cubic root of 52215760 is about 373.7666383349.

Adding to 52215760 its reverse (6751225), we get a palindrome (58966985).

It can be divided in two parts, 52215 and 760, that added together give a triangular number (52975 = T325).

The spelling of 52215760 in words is "fifty-two million, two hundred fifteen thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 353 430 688 706 860 1412 1720 1765 1849 2824 3440 3530 3698 5648 7060 7396 9245 14120 14792 15179 18490 28240 29584 30358 36980 60716 73960 75895 121432 147920 151790 242864 303580 607160 652697 1214320 1305394 2610788 3263485 5221576 6526970 10443152 13053940 26107880 52215760