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465885042 = 23721584643
BaseRepresentation
bin11011110001001…
…101011101110010
31012110122102010120
4123301031131302
51423231310132
6114121311110
714354646300
oct3361153562
91173572116
10465885042
11219a86367
12110035496
137569c12c
1445c35270
152ad7a02c
hex1bc4d772

465885042 has 24 divisors (see below), whose sum is σ = 1083896496. Its totient is φ = 133109928.

The previous prime is 465885011. The next prime is 465885047. The reversal of 465885042 is 240588564.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 465884985 and 465885003.

It is not an unprimeable number, because it can be changed into a prime (465885047) 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 11 ways as a sum of consecutive naturals, for example, 792028 + ... + 792615.

It is an arithmetic number, because the mean of its divisors is an integer number (45162354).

Almost surely, 2465885042 is an apocalyptic number.

465885042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

465885042 is an abundant number, since it is smaller than the sum of its proper divisors (618011454).

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

465885042 is a wasteful number, since it uses less digits than its factorization.

465885042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584662 (or 1584655 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 465885042 is about 21584.3703174311. The cubic root of 465885042 is about 775.2222973827. Note that the first 4 decimals are identical.

The spelling of 465885042 in words is "four hundred sixty-five million, eight hundred eighty-five thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 1584643 3169286 4753929 9507858 11092501 22185002 33277503 66555006 77647507 155295014 232942521 465885042