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504250464 = 25317319967
BaseRepresentation
bin11110000011100…
…100000001100000
31022010211120121010
4132003210001200
52013042003324
6122011500520
715332025654
oct3603440140
91263746533
10504250464
112396aa923
12120a57740
1380612973
144ad80a64
152e407829
hex1e0e4060

504250464 has 96 divisors (see below), whose sum is σ = 1446875136. Its totient is φ = 153077760.

The previous prime is 504250441. The next prime is 504250469. The reversal of 504250464 is 464052405.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504250469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45609 + ... + 55575.

It is an arithmetic number, because the mean of its divisors is an integer number (15071616).

Almost surely, 2504250464 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 504250464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723437568).

504250464 is an abundant number, since it is smaller than the sum of its proper divisors (942624672).

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

504250464 is a wasteful number, since it uses less digits than its factorization.

504250464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10028 (or 10020 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 504250464 is about 22455.5219044225. The cubic root of 504250464 is about 795.9432465450.

The spelling of 504250464 in words is "five hundred four million, two hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 496 527 544 744 816 992 1054 1488 1581 1632 2108 2976 3162 4216 6324 8432 9967 12648 16864 19934 25296 29901 39868 50592 59802 79736 119604 159472 169439 239208 308977 318944 338878 478416 508317 617954 677756 926931 956832 1016634 1235908 1355512 1853862 2033268 2471816 2711024 3707724 4066536 4943632 5252609 5422048 7415448 8133072 9887264 10505218 14830896 15757827 16266144 21010436 29661792 31515654 42020872 63031308 84041744 126062616 168083488 252125232 504250464