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52506252 = 2233539173
BaseRepresentation
bin1100100001001…
…0111010001100
310122210121001000
43020102322030
5101420200002
65113220300
71205203311
oct310227214
9118717030
1052506252
11277027a7
1215701690
13ab550b6
146d8ad08
15492261c
hex3212e8c

52506252 has 48 divisors (see below), whose sum is σ = 138710880. Its totient is φ = 17169984.

The previous prime is 52506247. The next prime is 52506257. The reversal of 52506252 is 25260525.

It is an interprime number because it is at equal distance from previous prime (52506247) and next prime (52506257).

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

It is not an unprimeable number, because it can be changed into a prime (52506257) 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, 1138 + ... + 10310.

It is an arithmetic number, because the mean of its divisors is an integer number (2889810).

Almost surely, 252506252 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 52506252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69355440).

52506252 is an abundant number, since it is smaller than the sum of its proper divisors (86204628).

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

52506252 is a wasteful number, since it uses less digits than its factorization.

52506252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9239 (or 9231 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 52506252 is about 7246.1197892389. The cubic root of 52506252 is about 374.4584823996.

Adding to 52506252 its reverse (25260525), we get a palindrome (77766777).

The spelling of 52506252 in words is "fifty-two million, five hundred six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2862 5724 9173 18346 27519 36692 55038 82557 110076 165114 247671 330228 486169 495342 972338 990684 1458507 1944676 2917014 4375521 5834028 8751042 13126563 17502084 26253126 52506252