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495851268 = 2231110735107
BaseRepresentation
bin11101100011100…
…001011100000100
31021120000212001210
4131203201130010
52003414220033
6121111451420
715200444343
oct3543413404
91246025053
10495851268
11234993440
1211a086b70
137b961923
1449bd5b5a
152d7e8d63
hex1d8e1704

495851268 has 48 divisors (see below), whose sum is σ = 1273999104. Its totient is φ = 148849440.

The previous prime is 495851267. The next prime is 495851287. The reversal of 495851268 is 862158594.

It is a super-3 number, since 3×4958512683 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (495851263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3430 + ... + 31677.

It is an arithmetic number, because the mean of its divisors is an integer number (26541648).

Almost surely, 2495851268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495851268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636999552).

495851268 is an abundant number, since it is smaller than the sum of its proper divisors (778147836).

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

495851268 is a wasteful number, since it uses less digits than its factorization.

495851268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35232 (or 35230 counting only the distinct ones).

The product of its digits is 691200, while the sum is 48.

The square root of 495851268 is about 22267.7180689895. The cubic root of 495851268 is about 791.4991923683.

The spelling of 495851268 in words is "four hundred ninety-five million, eight hundred fifty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 642 1177 1284 2354 3531 4708 7062 14124 35107 70214 105321 140428 210642 386177 421284 772354 1158531 1544708 2317062 3756449 4634124 7512898 11269347 15025796 22538694 41320939 45077388 82641878 123962817 165283756 247925634 495851268