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520345504 = 2572378969
BaseRepresentation
bin11111000000111…
…101011110100000
31100021010021211201
4133000331132200
52031202024004
6123344450544
715615602200
oct3700753640
91307107751
10520345504
112477a3308
12126319a54
1383a59863
144d170400
1530a366a4
hex1f03d7a0

520345504 has 72 divisors (see below), whose sum is σ = 1224028260. Its totient is φ = 216953856.

The previous prime is 520345487. The next prime is 520345519. The reversal of 520345504 is 405543025.

It can be written as a sum of positive squares in 2 ways, for example, as 490533904 + 29811600 = 22148^2 + 5460^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53532 + ... + 62500.

Almost surely, 2520345504 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 520345504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612014130).

520345504 is an abundant number, since it is smaller than the sum of its proper divisors (703682756).

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

520345504 is a wasteful number, since it uses less digits than its factorization.

520345504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9030 (or 9015 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 520345504 is about 22811.0829203701. The cubic root of 520345504 is about 804.3232118813.

Adding to 520345504 its reverse (405543025), we get a palindrome (925888529).

The spelling of 520345504 in words is "five hundred twenty million, three hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 74 98 112 148 196 224 259 296 392 518 592 784 1036 1184 1568 1813 2072 3626 4144 7252 8288 8969 14504 17938 29008 35876 58016 62783 71752 125566 143504 251132 287008 331853 439481 502264 663706 878962 1004528 1327412 1757924 2009056 2322971 2654824 3515848 4645942 5309648 7031696 9291884 10619296 14063392 16260797 18583768 32521594 37167536 65043188 74335072 130086376 260172752 520345504