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506490912 = 25322376463
BaseRepresentation
bin11110001100000…
…111000000100000
31022022001101220200
4132030013000200
52014130202122
6122131505200
715360046614
oct3614070040
91268041820
10506490912
1123a9a0134
12121758200
1380c18685
144b3a5344
152e6eb5ac
hex1e307020

506490912 has 72 divisors (see below), whose sum is σ = 1502976384. Its totient is φ = 161487744.

The previous prime is 506490857. The next prime is 506490953. The reversal of 506490912 is 219094605.

506490912 is a `hidden beast` number, since 5 + 0 + 649 + 0 + 9 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31608 + ... + 44855.

It is an arithmetic number, because the mean of its divisors is an integer number (20874672).

Almost surely, 2506490912 is an apocalyptic number.

It is an amenable number.

506490912 is an abundant number, since it is smaller than the sum of its proper divisors (996485472).

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

506490912 is a wasteful number, since it uses less digits than its factorization.

506490912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76502 (or 76491 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 506490912 is about 22505.3529632397. The cubic root of 506490912 is about 797.1203301476.

The spelling of 506490912 in words is "five hundred six million, four hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 76463 152926 229389 305852 458778 611704 688167 917556 1223408 1376334 1758649 1835112 2446816 2752668 3517298 3670224 5275947 5505336 7034596 7340448 10551894 11010672 14069192 15827841 21103788 22021344 28138384 31655682 42207576 56276768 63311364 84415152 126622728 168830304 253245456 506490912