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133023444 = 223233491381
BaseRepresentation
bin1111110110111…
…00011011010100
3100021022021212020
413323130123110
5233023222234
621111053140
73203452311
oct773343324
9307267766
10133023444
11690a7534
12386711b0
13217369c8
1413949d08
15ba29549
hex7edc6d4

133023444 has 48 divisors (see below), whose sum is σ = 325046400. Its totient is φ = 42261120.

The previous prime is 133023437. The next prime is 133023479. The reversal of 133023444 is 444320331.

It is a super-2 number, since 2×1330234442 = 35390473307242272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 95634 + ... + 97014.

It is an arithmetic number, because the mean of its divisors is an integer number (6771800).

Almost surely, 2133023444 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 133023444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162523200).

133023444 is an abundant number, since it is smaller than the sum of its proper divisors (192022956).

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

133023444 is a wasteful number, since it uses less digits than its factorization.

133023444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 133023444 is about 11533.5789761895. The cubic root of 133023444 is about 510.4768627099.

Adding to 133023444 its reverse (444320331), we get a palindrome (577343775).

The spelling of 133023444 in words is "one hundred thirty-three million, twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 349 698 1047 1381 1396 2094 2762 4143 4188 5524 8027 8286 16054 16572 24081 31763 32108 48162 63526 95289 96324 127052 190578 381156 481969 963938 1445907 1927876 2891814 5783628 11085287 22170574 33255861 44341148 66511722 133023444