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45243968 = 267119181
BaseRepresentation
bin1010110010010…
…1111001000000
310011010122001112
42230211321000
543040301333
64253422452
71056365420
oct254457100
9104118045
1045243968
11235a2510
121319aa28
1394b16a3
14601a480
153e8a948
hex2b25e40

45243968 has 56 divisors (see below), whose sum is σ = 111946944. Its totient is φ = 17625600.

The previous prime is 45243949. The next prime is 45243971. The reversal of 45243968 is 86934254.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338 + ... + 9518.

Almost surely, 245243968 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 45243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55973472).

45243968 is an abundant number, since it is smaller than the sum of its proper divisors (66702976).

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

45243968 is a wasteful number, since it uses less digits than its factorization.

45243968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9211 (or 9201 counting only the distinct ones).

The product of its digits is 207360, while the sum is 41.

The square root of 45243968 is about 6726.3636535650. The cubic root of 45243968 is about 356.3309635210.

The spelling of 45243968 in words is "forty-five million, two hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 9181 18362 36724 64267 73448 100991 128534 146896 201982 257068 293792 403964 514136 587584 706937 807928 1028272 1413874 1615856 2056544 2827748 3231712 4113088 5655496 6463424 11310992 22621984 45243968