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504410704 = 2472897229
BaseRepresentation
bin11110000100001…
…011001001010000
31022011010201101221
4132010023021100
52013112120304
6122015134424
715333264100
oct3604131120
91264121357
10504410704
112397aa256
12120b14414
138066a895
144adc3200
152e43a054
hex1e10b250

504410704 has 60 divisors (see below), whose sum is σ = 1149786900. Its totient is φ = 213717504.

The previous prime is 504410701. The next prime is 504410707. The reversal of 504410704 is 407014405.

It is an interprime number because it is at equal distance from previous prime (504410701) and next prime (504410707).

It can be written as a sum of positive squares in 2 ways, for example, as 351937600 + 152473104 = 18760^2 + 12348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504410701) 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 11 ways as a sum of consecutive naturals, for example, 66162 + ... + 73390.

It is an arithmetic number, because the mean of its divisors is an integer number (19163115).

Almost surely, 2504410704 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 504410704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574893450).

504410704 is an abundant number, since it is smaller than the sum of its proper divisors (645376196).

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

504410704 is a wasteful number, since it uses less digits than its factorization.

504410704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7340 (or 7327 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 504410704 is about 22459.0895630255. The cubic root of 504410704 is about 796.0275488559.

The spelling of 504410704 in words is "five hundred four million, four hundred ten thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 89 98 112 178 196 356 392 623 712 784 1246 1424 2492 4361 4984 7229 8722 9968 14458 17444 28916 34888 50603 57832 69776 101206 115664 202412 354221 404824 643381 708442 809648 1286762 1416884 2573524 2833768 4503667 5147048 5667536 9007334 10294096 18014668 31525669 36029336 63051338 72058672 126102676 252205352 504410704