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504372816 = 24324185429
BaseRepresentation
bin11110000100000…
…001111001010000
31022011001210102200
4132010001321100
52013104412231
6122014243200
715333045453
oct3604017120
91264053380
10504372816
11239783842
12120ab6500
138065656c
144adb349a
152e42dbe6
hex1e101e50

504372816 has 60 divisors (see below), whose sum is σ = 1445988180. Its totient is φ = 164021760.

The previous prime is 504372811. The next prime is 504372829. The reversal of 504372816 is 618273405.

504372816 is a `hidden beast` number, since 504 + 3 + 72 + 81 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11532816 + 492840000 = 3396^2 + 22200^2 .

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 (504372811) 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, 36811 + ... + 48618.

It is an arithmetic number, because the mean of its divisors is an integer number (24099803).

Almost surely, 2504372816 is an apocalyptic number.

It is an amenable number.

504372816 is an abundant number, since it is smaller than the sum of its proper divisors (941615364).

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

504372816 is a wasteful number, since it uses less digits than its factorization.

504372816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85484 (or 85475 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 504372816 is about 22458.2460579628. The cubic root of 504372816 is about 796.0076175799.

The spelling of 504372816 in words is "five hundred four million, three hundred seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 85429 170858 256287 341716 512574 683432 768861 1025148 1366864 1537722 2050296 3075444 3502589 4100592 6150888 7005178 10507767 12301776 14010356 21015534 28020712 31523301 42031068 56041424 63046602 84062136 126093204 168124272 252186408 504372816