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504872020 = 225295411609
BaseRepresentation
bin11110000101111…
…011110001010100
31022012000011012201
4132011323301110
52013221401040
6122033054244
715340225042
oct3605736124
91265004181
10504872020
11239a94904
121210b7384
138079c853
144b0a3392
152e4cba9a
hex1e17bc54

504872020 has 48 divisors (see below), whose sum is σ = 1099501200. Its totient is φ = 194503680.

The previous prime is 504872003. The next prime is 504872021. The reversal of 504872020 is 20278405.

It can be written as a sum of positive squares in 8 ways, for example, as 21399876 + 483472144 = 4626^2 + 21988^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 504872020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504872021) 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, 312976 + ... + 314584.

It is an arithmetic number, because the mean of its divisors is an integer number (22906275).

Almost surely, 2504872020 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 504872020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549750600).

504872020 is an abundant number, since it is smaller than the sum of its proper divisors (594629180).

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

504872020 is a wasteful number, since it uses less digits than its factorization.

504872020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 504872020 is about 22469.3573561862. The cubic root of 504872020 is about 796.2701476944.

The spelling of 504872020 in words is "five hundred four million, eight hundred seventy-two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 541 580 1082 1609 2164 2705 3218 5410 6436 8045 10820 15689 16090 31378 32180 46661 62756 78445 93322 156890 186644 233305 313780 466610 870469 933220 1740938 3481876 4352345 8704690 17409380 25243601 50487202 100974404 126218005 252436010 504872020