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45645468 = 22311595861
BaseRepresentation
bin1010111000011…
…1111010011100
310011220000210220
42232013322130
543141123333
64310201340
71062660111
oct256077234
9104800726
1045645468
1123847130
1213353250
1395c236b
1460c2908
1540198b3
hex2b87e9c

45645468 has 48 divisors (see below), whose sum is σ = 118177920. Its totient is φ = 13595200.

The previous prime is 45645461. The next prime is 45645469. The reversal of 45645468 is 86454654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45645461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4858 + ... + 10718.

It is an arithmetic number, because the mean of its divisors is an integer number (2462040).

Almost surely, 245645468 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 45645468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59088960).

45645468 is an abundant number, since it is smaller than the sum of its proper divisors (72532452).

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

45645468 is a wasteful number, since it uses less digits than its factorization.

45645468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5938 (or 5936 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 45645468 is about 6756.1429825012. The cubic root of 45645468 is about 357.3819011019.

The spelling of 45645468 in words is "forty-five million, six hundred forty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 59 66 118 132 177 236 354 649 708 1298 1947 2596 3894 5861 7788 11722 17583 23444 35166 64471 70332 128942 193413 257884 345799 386826 691598 773652 1037397 1383196 2074794 3803789 4149588 7607578 11411367 15215156 22822734 45645468