Search a number
-
+
520618272 = 25319328099
BaseRepresentation
bin11111000010000…
…000000100100000
31100021122011000020
4133002000010200
52031234241042
6123354353440
715621116346
oct3702000440
91307564006
10520618272
1124796a239
1212642b880
1383b23a65
144d201996
1530a8c3ec
hex1f080120

520618272 has 48 divisors (see below), whose sum is σ = 1373752800. Its totient is φ = 172634112.

The previous prime is 520618249. The next prime is 520618279. The reversal of 520618272 is 272816025.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×5206182723 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (520618279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4479 + ... + 32577.

It is an arithmetic number, because the mean of its divisors is an integer number (28619850).

Almost surely, 2520618272 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 520618272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686876400).

520618272 is an abundant number, since it is smaller than the sum of its proper divisors (853134528).

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

520618272 is a wasteful number, since it uses less digits than its factorization.

520618272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28305 (or 28297 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 520618272 is about 22817.0609851488. The cubic root of 520618272 is about 804.4637308939.

The spelling of 520618272 in words is "five hundred twenty million, six hundred eighteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 386 579 772 1158 1544 2316 3088 4632 6176 9264 18528 28099 56198 84297 112396 168594 224792 337188 449584 674376 899168 1348752 2697504 5423107 10846214 16269321 21692428 32538642 43384856 65077284 86769712 130154568 173539424 260309136 520618272