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45426006 = 23217295119
BaseRepresentation
bin1010110101001…
…0010101010110
310011110212202200
42231102111112
543112113011
64301345330
71061054223
oct255222526
9104425680
1045426006
112370725a
1213268246
1395464c2
14606694a
153ec4856
hex2b52556

45426006 has 48 divisors (see below), whose sum is σ = 107827200. Its totient is φ = 13757184.

The previous prime is 45425993. The next prime is 45426011. The reversal of 45426006 is 60062454.

It is a happy number.

45426006 is a `hidden beast` number, since 4 + 54 + 2 + 600 + 6 = 666.

45426006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×454260062 = 4127044042224072, 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6315 + ... + 11433.

It is an arithmetic number, because the mean of its divisors is an integer number (2246400).

Almost surely, 245426006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45426006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53913600).

45426006 is an abundant number, since it is smaller than the sum of its proper divisors (62401194).

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

45426006 is a wasteful number, since it uses less digits than its factorization.

45426006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5173 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45426006 is about 6739.8817497045. The cubic root of 45426006 is about 356.8082203241.

The spelling of 45426006 in words is "forty-five million, four hundred twenty-six thousand, six".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 102 153 174 261 306 493 522 986 1479 2958 4437 5119 8874 10238 15357 30714 46071 87023 92142 148451 174046 261069 296902 445353 522138 783207 890706 1336059 1566414 2523667 2672118 5047334 7571001 15142002 22713003 45426006