Search a number
-
+
520883328 = 27372193147
BaseRepresentation
bin11111000011000…
…000110010000000
31100022010121121010
4133003000302000
52031321231303
6123404200520
715623302200
oct3703006200
91308117533
10520883328
11248030399
12126539140
1383bb75b4
144d270400
1530ae0c03
hex1f0c0c80

520883328 has 384 divisors, whose sum is σ = 1786060800. Its totient is φ = 133539840.

The previous prime is 520883327. The next prime is 520883333. The reversal of 520883328 is 823388025.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (520883327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11082601 + ... + 11082647.

It is an arithmetic number, because the mean of its divisors is an integer number (4651200).

Almost surely, 2520883328 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 520883328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893030400).

520883328 is an abundant number, since it is smaller than the sum of its proper divisors (1265177472).

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

520883328 is a wasteful number, since it uses less digits than its factorization.

520883328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 520883328 is about 22822.8685313656. The cubic root of 520883328 is about 804.6002299850.

It can be divided in two parts, 5208 and 83328, that multiplied together give a square (433972224 = 208322).

The spelling of 520883328 in words is "five hundred twenty million, eight hundred eighty-three thousand, three hundred twenty-eight".