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456220242 = 23331272533
BaseRepresentation
bin11011001100010…
…101111001010010
31011210110101112000
4123030111321102
51413243021432
6113134214430
714206544112
oct3314257122
91153411460
10456220242
11214585025
12108954416
137369700a
144483b042
152a0bb57c
hex1b315e52

456220242 has 32 divisors (see below), whose sum is σ = 1046530560. Its totient is φ = 147167280.

The previous prime is 456220241. The next prime is 456220301. The reversal of 456220242 is 242022654.

It is a happy number.

456220242 is a `hidden beast` number, since 456 + 2 + 202 + 4 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (456220241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134593 + ... + 137940.

It is an arithmetic number, because the mean of its divisors is an integer number (32704080).

Almost surely, 2456220242 is an apocalyptic number.

456220242 is an abundant number, since it is smaller than the sum of its proper divisors (590310318).

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

456220242 is a wasteful number, since it uses less digits than its factorization.

456220242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272575 (or 272569 counting only the distinct ones).

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

The square root of 456220242 is about 21359.3127698435. The cubic root of 456220242 is about 769.8241246709.

Adding to 456220242 its reverse (242022654), we get a palindrome (698242896).

The spelling of 456220242 in words is "four hundred fifty-six million, two hundred twenty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 272533 545066 817599 1635198 2452797 4905594 7358391 8448523 14716782 16897046 25345569 50691138 76036707 152073414 228110121 456220242