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462138083 = 112191791123
BaseRepresentation
bin11011100010111…
…010101011100011
31012012121001021022
4123202322223203
51421301404313
6113505120055
714311052231
oct3342725343
91165531238
10462138083
11217957200
1210a92902b
13749897b4
144553b951
152a889c08
hex1b8baae3

462138083 has 24 divisors (see below), whose sum is σ = 538171200. Its totient is φ = 395437680.

The previous prime is 462138023. The next prime is 462138109. The reversal of 462138083 is 380831264.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-462138083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (462138023) 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 23 ways as a sum of consecutive naturals, for example, 410960 + ... + 412082.

It is an arithmetic number, because the mean of its divisors is an integer number (22423800).

Almost surely, 2462138083 is an apocalyptic number.

462138083 is a deficient number, since it is larger than the sum of its proper divisors (76033117).

462138083 is a wasteful number, since it uses less digits than its factorization.

462138083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 462138083 is about 21497.3971215122. The cubic root of 462138083 is about 773.1384153562.

The spelling of 462138083 in words is "four hundred sixty-two million, one hundred thirty-eight thousand, eighty-three".

Divisors: 1 11 19 121 179 209 1123 1969 2299 3401 12353 21337 21659 37411 135883 201017 234707 411521 2211187 2581777 3819323 24323057 42012553 462138083