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52504272 = 2432418893
BaseRepresentation
bin1100100001001…
…0011011010000
310122210111022200
43020102123100
5101420114042
65113203200
71205164452
oct310223320
9118714280
1052504272
1127701267
1215700500
13ab54222
146d8a2d2
154921c4c
hex32126d0

52504272 has 60 divisors (see below), whose sum is σ = 150539844. Its totient is φ = 17072640.

The previous prime is 52504271. The next prime is 52504303. The reversal of 52504272 is 27240525.

It can be written as a sum of positive squares in 2 ways, for example, as 4562496 + 47941776 = 2136^2 + 6924^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52504271) 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, 1458 + ... + 10350.

Almost surely, 252504272 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 52504272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75269922).

52504272 is an abundant number, since it is smaller than the sum of its proper divisors (98035572).

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

52504272 is a wasteful number, since it uses less digits than its factorization.

52504272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8948 (or 8939 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 52504272 is about 7245.9831631049. The cubic root of 52504272 is about 374.4537754229.

Adding to 52504272 its reverse (27240525), we get a palindrome (79744797).

The spelling of 52504272 in words is "fifty-two million, five hundred four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 8893 17786 26679 35572 53358 71144 80037 106716 142288 160074 213432 320148 364613 426864 640296 729226 1093839 1280592 1458452 2187678 2916904 3281517 4375356 5833808 6563034 8750712 13126068 17501424 26252136 52504272