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481000242 = 232321116519
BaseRepresentation
bin11100101010110…
…111101100110010
31020112002100021210
4130222313230302
51441114001432
6115421300550
714630302032
oct3452675462
91215070253
10481000242
1122756a668
12115104756
1378862038
1447c4b8c2
152c3638cc
hex1cab7b32

481000242 has 32 divisors (see below), whose sum is σ = 1008645120. Its totient is φ = 152626320.

The previous prime is 481000231. The next prime is 481000249. The reversal of 481000242 is 242000184.

It is a super-3 number, since 3×4810002423 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (481000249) 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 15 ways as a sum of consecutive naturals, for example, 20859 + ... + 37377.

It is an arithmetic number, because the mean of its divisors is an integer number (31520160).

Almost surely, 2481000242 is an apocalyptic number.

481000242 is an abundant number, since it is smaller than the sum of its proper divisors (527644878).

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

481000242 is a wasteful number, since it uses less digits than its factorization.

481000242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16758.

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 481000242 is about 21931.7177165857. The cubic root of 481000242 is about 783.5170140962.

The spelling of 481000242 in words is "four hundred eighty-one million, two hundred forty-two", and thus it is an aban number.

Divisors: 1 2 3 6 23 46 69 138 211 422 633 1266 4853 9706 14559 16519 29118 33038 49557 99114 379937 759874 1139811 2279622 3485509 6971018 10456527 20913054 80166707 160333414 240500121 481000242