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505706032 = 24132431279
BaseRepresentation
bin11110001001000…
…111011000110000
31022020120112021001
4132021013120300
52013430043112
6122103011344
715350300416
oct3611073060
91266515231
10505706032
1123a504477
12121439b54
1380a02350
144b23d2b6
152e5e3c57
hex1e247630

505706032 has 20 divisors (see below), whose sum is σ = 1055175520. Its totient is φ = 233402688.

The previous prime is 505706011. The next prime is 505706059. The reversal of 505706032 is 230607505.

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 3 ways as a sum of consecutive naturals, for example, 1215432 + ... + 1215847.

It is an arithmetic number, because the mean of its divisors is an integer number (52758776).

Almost surely, 2505706032 is an apocalyptic number.

505706032 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

505706032 is an abundant number, since it is smaller than the sum of its proper divisors (549469488).

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

505706032 is a wasteful number, since it uses less digits than its factorization.

505706032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431300 (or 2431294 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 505706032 is about 22487.9085732756. The cubic root of 505706032 is about 796.7083666795.

The spelling of 505706032 in words is "five hundred five million, seven hundred six thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 2431279 4862558 9725116 19450232 31606627 38900464 63213254 126426508 252853016 505706032