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45326964 = 22317832677
BaseRepresentation
bin1010110011101…
…0001001110100
310011021211220110
42230322021310
543100430324
64255303020
71060162404
oct254721164
9104254813
1045326964
1123649901
121321aa70
1395103b7
14603c804
153ea5329
hex2b3a274

45326964 has 48 divisors (see below), whose sum is σ = 113375808. Its totient is φ = 14043648.

The previous prime is 45326933. The next prime is 45326969. The reversal of 45326964 is 46962354.

45326964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45326969) 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, 15594 + ... + 18270.

It is an arithmetic number, because the mean of its divisors is an integer number (2361996).

Almost surely, 245326964 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 45326964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56687904).

45326964 is an abundant number, since it is smaller than the sum of its proper divisors (68048844).

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

45326964 is a wasteful number, since it uses less digits than its factorization.

45326964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2782 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 45326964 is about 6732.5302821450. The cubic root of 45326964 is about 356.5487161535.

The spelling of 45326964 in words is "forty-five million, three hundred twenty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 83 102 166 204 249 332 498 996 1411 2677 2822 4233 5354 5644 8031 8466 10708 16062 16932 32124 45509 91018 136527 182036 222191 273054 444382 546108 666573 888764 1333146 2666292 3777247 7554494 11331741 15108988 22663482 45326964