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504063864 = 23337013329
BaseRepresentation
bin11110000010110…
…110011101111000
31022010111002122000
4132002312131320
52013020020424
6122003501000
715330320643
oct3602663570
91263432560
10504063864
11239592707
12120987760
1380578a55
144ad32a5a
152e3bc3c9
hex1e0b6778

504063864 has 64 divisors (see below), whose sum is σ = 1402596000. Its totient is φ = 167731200.

The previous prime is 504063829. The next prime is 504063869. The reversal of 504063864 is 468360405.

It is a super-2 number, since 2×5040638642 = 508160757981220992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504063869) 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, 149752 + ... + 153080.

Almost surely, 2504063864 is an apocalyptic number.

504063864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

504063864 is an abundant number, since it is smaller than the sum of its proper divisors (898532136).

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

504063864 is a wasteful number, since it uses less digits than its factorization.

504063864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 504063864 is about 22451.3666399175. The cubic root of 504063864 is about 795.8450537191.

The spelling of 504063864 in words is "five hundred four million, sixty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 701 1402 2103 2804 3329 4206 5608 6309 6658 8412 9987 12618 13316 16824 18927 19974 25236 26632 29961 37854 39948 50472 59922 75708 79896 89883 119844 151416 179766 239688 359532 719064 2333629 4667258 7000887 9334516 14001774 18669032 21002661 28003548 42005322 56007096 63007983 84010644 126015966 168021288 252031932 504063864