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504465040 = 2457386381
BaseRepresentation
bin11110000100011…
…000011010010000
31022011020110221101
4132010120122100
52013120340130
6122020234144
715333611362
oct3604303220
91264213841
10504465040
11239837062
12120b3b954
1380689531
144add8d32
152e44b1ca
hex1e118690

504465040 has 40 divisors (see below), whose sum is σ = 1188961848. Its totient is φ = 199019520.

The previous prime is 504465019. The next prime is 504465041. The reversal of 504465040 is 40564405.

It can be written as a sum of positive squares in 4 ways, for example, as 46676224 + 457788816 = 6832^2 + 21396^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (504465041) by changing a digit.

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, 37351 + ... + 49030.

Almost surely, 2504465040 is an apocalyptic number.

It is an amenable number.

504465040 is an abundant number, since it is smaller than the sum of its proper divisors (684496808).

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

504465040 is a wasteful number, since it uses less digits than its factorization.

504465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86467 (or 86461 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 504465040 is about 22460.2991965824. The cubic root of 504465040 is about 796.0561309878.

The spelling of 504465040 in words is "five hundred four million, four hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 86381 172762 345524 431905 691048 863810 1382096 1727620 3455240 6305813 6910480 12611626 25223252 31529065 50446504 63058130 100893008 126116260 252232520 504465040