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45568848 = 24313103709
BaseRepresentation
bin1010110111010…
…1001101010000
310011202010201010
42231311031100
543131200343
64304410520
71062220533
oct255651520
9104663633
1045568848
11237a4606
1213316a40
139596520
1460a2a1a
154001d33
hex2b75350

45568848 has 80 divisors (see below), whose sum is σ = 128186240. Its totient is φ = 13865472.

The previous prime is 45568847. The next prime is 45568903. The reversal of 45568848 is 84886554.

It is a happy number.

45568848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 45568797 and 45568806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45568847) 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, 63918 + ... + 64626.

It is an arithmetic number, because the mean of its divisors is an integer number (1602328).

Almost surely, 245568848 is an apocalyptic number.

45568848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45568848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64093120).

45568848 is an abundant number, since it is smaller than the sum of its proper divisors (82617392).

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

45568848 is a wasteful number, since it uses less digits than its factorization.

45568848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 830 counting only the distinct ones).

The product of its digits is 1228800, while the sum is 48.

The square root of 45568848 is about 6750.4702058449. The cubic root of 45568848 is about 357.1818232837.

The spelling of 45568848 in words is "forty-five million, five hundred sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 103 104 156 206 208 309 312 412 618 624 709 824 1236 1339 1418 1648 2127 2472 2678 2836 4017 4254 4944 5356 5672 8034 8508 9217 10712 11344 16068 17016 18434 21424 27651 32136 34032 36868 55302 64272 73027 73736 110604 146054 147472 219081 221208 292108 438162 442416 584216 876324 949351 1168432 1752648 1898702 2848053 3505296 3797404 5696106 7594808 11392212 15189616 22784424 45568848