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504138976 = 25114313323
BaseRepresentation
bin11110000011001…
…000110011100000
31022010121220122221
4132003020303200
52013024421401
6122005240424
715331052635
oct3603106340
91263556587
10504138976
11239634090
12120a03114
13805a3cb3
144ad5218c
152e3d47a1
hex1e0c8ce0

504138976 has 48 divisors (see below), whose sum is σ = 1085591808. Its totient is φ = 228553600.

The previous prime is 504138889. The next prime is 504139037. The reversal of 504138976 is 679831405.

It is a super-2 number, since 2×5041389762 = 508312214244657152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150051 + ... + 153373.

It is an arithmetic number, because the mean of its divisors is an integer number (22616496).

Almost surely, 2504138976 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 504138976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542795904).

504138976 is an abundant number, since it is smaller than the sum of its proper divisors (581452832).

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

504138976 is a wasteful number, since it uses less digits than its factorization.

504138976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3775 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 504138976 is about 22453.0393488276. The cubic root of 504138976 is about 795.8845821393.

The spelling of 504138976 in words is "five hundred four million, one hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 431 862 1724 3323 3448 4741 6646 6896 9482 13292 13792 18964 26584 36553 37928 53168 73106 75856 106336 146212 151712 292424 584848 1169696 1432213 2864426 5728852 11457704 15754343 22915408 31508686 45830816 63017372 126034744 252069488 504138976