Search a number
-
+
146496033 = 348872039
BaseRepresentation
bin10001011101101…
…01101000100001
3101012122202210000
420232311220201
5300000333113
622311530213
73426124065
oct1056655041
9335582700
10146496033
1175769702
1241089969
1324473058
1415655aa5
15ccdb373
hex8bb5a21

146496033 has 20 divisors (see below), whose sum is σ = 219193920. Its totient is φ = 97506072.

The previous prime is 146496017. The next prime is 146496037. The reversal of 146496033 is 330694641.

146496033 is a `hidden beast` number, since 1 + 4 + 6 + 49 + 603 + 3 = 666.

It is not a de Polignac number, because 146496033 - 24 = 146496017 is a prime.

It is a super-2 number, since 2×1464960332 = 42922175369474178, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146496037) 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 19 ways as a sum of consecutive naturals, for example, 70828 + ... + 72866.

It is an arithmetic number, because the mean of its divisors is an integer number (10959696).

Almost surely, 2146496033 is an apocalyptic number.

It is an amenable number.

146496033 is a deficient number, since it is larger than the sum of its proper divisors (72697887).

146496033 is an equidigital number, since it uses as much as digits as its factorization.

146496033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 146496033 is about 12103.5545605413. The cubic root of 146496033 is about 527.1593997811.

The spelling of 146496033 in words is "one hundred forty-six million, four hundred ninety-six thousand, thirty-three".

Divisors: 1 3 9 27 81 887 2039 2661 6117 7983 18351 23949 55053 71847 165159 1808593 5425779 16277337 48832011 146496033