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506444994 = 233111750153
BaseRepresentation
bin11110001011111…
…011110011000010
31022021222001221000
4132023323303002
52014122214434
6122130512430
715356466006
oct3613736302
91267861830
10506444994
1123a969690
12121735716
1380c007c3
144b392706
152e6dcb99
hex1e2fbcc2

506444994 has 64 divisors (see below), whose sum is σ = 1299991680. Its totient is φ = 144437760.

The previous prime is 506444993. The next prime is 506445029. The reversal of 506444994 is 499444605.

It is not an unprimeable number, because it can be changed into a prime (506444993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14979 + ... + 35174.

It is an arithmetic number, because the mean of its divisors is an integer number (20312370).

Almost surely, 2506444994 is an apocalyptic number.

506444994 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

506444994 is an abundant number, since it is smaller than the sum of its proper divisors (793546686).

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

506444994 is a wasteful number, since it uses less digits than its factorization.

506444994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50192 (or 50186 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 506444994 is about 22504.3327828221. The cubic root of 506444994 is about 797.0962406877.

The spelling of 506444994 in words is "five hundred six million, four hundred forty-four thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1683 3366 5049 10098 50153 100306 150459 300918 451377 551683 852601 902754 1103366 1354131 1655049 1705202 2557803 2708262 3310098 4965147 5115606 7673409 9378611 9930294 14895441 15346818 18757222 23020227 28135833 29790882 46040454 56271666 84407499 168814998 253222497 506444994