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461080242 = 23371219789
BaseRepresentation
bin11011011110111…
…000011010110010
31012010121022012000
4123132320122302
51421014031432
6113430314430
714266055160
oct3336703262
91163538160
10461080242
112172a4457
1210a4b8a16
13746a915c
1445344230
152a72b57c
hex1b7b86b2

461080242 has 32 divisors (see below), whose sum is σ = 1170998400. Its totient is φ = 131737104.

The previous prime is 461080229. The next prime is 461080259. The reversal of 461080242 is 242080164.

461080242 is a `hidden beast` number, since 4 + 610 + 8 + 0 + 2 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 609517 + ... + 610272.

It is an arithmetic number, because the mean of its divisors is an integer number (36593700).

Almost surely, 2461080242 is an apocalyptic number.

461080242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

461080242 is an abundant number, since it is smaller than the sum of its proper divisors (709918158).

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

461080242 is a wasteful number, since it uses less digits than its factorization.

461080242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219807 (or 1219801 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 461080242 is about 21472.7790935407. The cubic root of 461080242 is about 772.5480562054.

The spelling of 461080242 in words is "four hundred sixty-one million, eighty thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1219789 2439578 3659367 7318734 8538523 10978101 17077046 21956202 25615569 32934303 51231138 65868606 76846707 153693414 230540121 461080242