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505042308 = 223229483757
BaseRepresentation
bin11110000110100…
…101010110000100
31022012022210210200
4132012211112010
52013242323213
6122040450500
715341534361
oct3606452604
91265283720
10505042308
1123a0a0841
12121179a30
138082c204
144b109468
152e512273
hex1e1a5584

505042308 has 36 divisors (see below), whose sum is σ = 1320659340. Its totient is φ = 162542016.

The previous prime is 505042289. The next prime is 505042327. The reversal of 505042308 is 803240505.

It is an interprime number because it is at equal distance from previous prime (505042289) and next prime (505042327).

It can be written as a sum of positive squares in 2 ways, for example, as 91814724 + 413227584 = 9582^2 + 20328^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240835 + ... + 242922.

Almost surely, 2505042308 is an apocalyptic number.

505042308 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

505042308 is an abundant number, since it is smaller than the sum of its proper divisors (815617032).

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

505042308 is a wasteful number, since it uses less digits than its factorization.

505042308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483796 (or 483791 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 505042308 is about 22473.1463751741. The cubic root of 505042308 is about 796.3596621346.

The spelling of 505042308 in words is "five hundred five million, forty-two thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 483757 967514 1451271 1935028 2902542 4353813 5805084 8707626 14028953 17415252 28057906 42086859 56115812 84173718 126260577 168347436 252521154 505042308