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242405046 = 232132693851
BaseRepresentation
bin11100111001011…
…00111010110110
3121220010110012200
432130230322312
5444023430141
640015325330
76002260152
oct1634547266
9556113180
10242405046
11114916554
1269220846
133b2b3750
14242a0062
1516433ab6
hexe72ceb6

242405046 has 48 divisors (see below), whose sum is σ = 567861840. Its totient is φ = 74289600.

The previous prime is 242405011. The next prime is 242405071. The reversal of 242405046 is 640504242.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 61021 + ... + 64871.

It is an arithmetic number, because the mean of its divisors is an integer number (11830455).

Almost surely, 2242405046 is an apocalyptic number.

242405046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 242405046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283930920).

242405046 is an abundant number, since it is smaller than the sum of its proper divisors (325456794).

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

242405046 is a wasteful number, since it uses less digits than its factorization.

242405046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 242405046 is about 15569.3624146912. The cubic root of 242405046 is about 623.5154491526.

Adding to 242405046 its reverse (640504242), we get a palindrome (882909288).

The spelling of 242405046 in words is "two hundred forty-two million, four hundred five thousand, forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 269 538 807 1614 2421 3497 3851 4842 6994 7702 10491 11553 20982 23106 31473 34659 50063 62946 69318 100126 150189 300378 450567 901134 1035919 2071838 3107757 6215514 9323271 13466947 18646542 26933894 40400841 80801682 121202523 242405046