Search a number
-
+
52006464 = 263290289
BaseRepresentation
bin1100011001100…
…0111001000000
310121212012110100
43012120321000
5101303201324
65054402400
71201022226
oct306307100
9117765410
1052006464
11273a1254
1215500400
13aa0b773
146c9ab16
1548744c9
hex3198e40

52006464 has 42 divisors (see below), whose sum is σ = 149068790. Its totient is φ = 17335296.

The previous prime is 52006429. The next prime is 52006529. The reversal of 52006464 is 46460025.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 51840000 + 166464 = 7200^2 + 408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44569 + ... + 45720.

Almost surely, 252006464 is an apocalyptic number.

It is an amenable number.

52006464 is an abundant number, since it is smaller than the sum of its proper divisors (97062326).

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

52006464 is a wasteful number, since it uses less digits than its factorization.

52006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90307 (or 90294 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 52006464 is about 7211.5507347588. The cubic root of 52006464 is about 373.2665810359.

Adding to 52006464 its reverse (46460025), we get a palindrome (98466489).

It can be divided in two parts, 5200 and 6464, that added together give a square (11664 = 1082).

The spelling of 52006464 in words is "fifty-two million, six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 90289 180578 270867 361156 541734 722312 812601 1083468 1444624 1625202 2166936 2889248 3250404 4333872 5778496 6500808 8667744 13001616 17335488 26003232 52006464