Search a number
-
+
52257288 = 23323412309
BaseRepresentation
bin1100011101011…
…0001000001000
310122022221112010
43013112020020
5101334213123
65104015520
71203115416
oct307261010
9118287463
1052257288
1127552746
12156015a0
13aa98995
146d242b6
1548c3993
hex31d6208

52257288 has 64 divisors (see below), whose sum is σ = 139708800. Its totient is φ = 16248320.

The previous prime is 52257281. The next prime is 52257301. The reversal of 52257288 is 88275225.

It is a happy number.

It is a super-2 number, since 2×522572882 = 5461648298229888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52257281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21478 + ... + 23786.

It is an arithmetic number, because the mean of its divisors is an integer number (2182950).

Almost surely, 252257288 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 52257288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69854400).

52257288 is an abundant number, since it is smaller than the sum of its proper divisors (87451512).

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

52257288 is a wasteful number, since it uses less digits than its factorization.

52257288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2378 counting only the distinct ones).

The product of its digits is 89600, while the sum is 39.

The square root of 52257288 is about 7228.9202513238. The cubic root of 52257288 is about 373.8656995371.

The spelling of 52257288 in words is "fifty-two million, two hundred fifty-seven thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 41 46 69 82 92 123 138 164 184 246 276 328 492 552 943 984 1886 2309 2829 3772 4618 5658 6927 7544 9236 11316 13854 18472 22632 27708 53107 55416 94669 106214 159321 189338 212428 284007 318642 378676 424856 568014 637284 757352 1136028 1274568 2177387 2272056 4354774 6532161 8709548 13064322 17419096 26128644 52257288