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466400142 = 232131993163
BaseRepresentation
bin11011110011001…
…011001110001110
31012111121120201100
4123303023032032
51423344301032
6114140323530
714362223115
oct3363131616
91174546640
10466400142
1121a2a836a
121102435a6
137581c720
1445d2ac7c
152ae2c97c
hex1bccb38e

466400142 has 24 divisors (see below), whose sum is σ = 1088267544. Its totient is φ = 143507664.

The previous prime is 466400119. The next prime is 466400149. The reversal of 466400142 is 241004664.

466400142 is a `hidden beast` number, since 4 + 6 + 640 + 0 + 14 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466400149) 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, 996348 + ... + 996815.

It is an arithmetic number, because the mean of its divisors is an integer number (45344481).

Almost surely, 2466400142 is an apocalyptic number.

466400142 is an abundant number, since it is smaller than the sum of its proper divisors (621867402).

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

466400142 is a wasteful number, since it uses less digits than its factorization.

466400142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993184 (or 1993181 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 466400142 is about 21596.2992663095. The cubic root of 466400142 is about 775.5078971145.

The spelling of 466400142 in words is "four hundred sixty-six million, four hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1993163 3986326 5979489 11958978 17938467 25911119 35876934 51822238 77733357 155466714 233200071 466400142