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504255520 = 25531310069
BaseRepresentation
bin11110000011100…
…101010000100000
31022010211211112101
4132003211100200
52013042134040
6122011540144
715332046466
oct3603452040
91263754471
10504255520
112397036aa
12120a5a654
1380615062
144ad82836
152e40909a
hex1e0e5420

504255520 has 48 divisors (see below), whose sum is σ = 1195228440. Its totient is φ = 201037824.

The previous prime is 504255487. The next prime is 504255533. The reversal of 504255520 is 25552405.

It can be written as a sum of positive squares in 4 ways, for example, as 172869904 + 331385616 = 13148^2 + 18204^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45046 + ... + 55114.

Almost surely, 2504255520 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 504255520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597614220).

504255520 is an abundant number, since it is smaller than the sum of its proper divisors (690972920).

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

504255520 is a wasteful number, since it uses less digits than its factorization.

504255520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10397 (or 10389 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 28.

The square root of 504255520 is about 22455.6344822408. The cubic root of 504255520 is about 795.9459067809.

It can be divided in two parts, 50425 and 5520, that added together give a triangular number (55945 = T334).

The spelling of 504255520 in words is "five hundred four million, two hundred fifty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 313 626 1252 1565 2504 3130 5008 6260 10016 10069 12520 20138 25040 40276 50080 50345 80552 100690 161104 201380 322208 402760 805520 1611040 3151597 6303194 12606388 15757985 25212776 31515970 50425552 63031940 100851104 126063880 252127760 504255520