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45112842 = 2333767337
BaseRepresentation
bin1010110000010…
…1111000001010
310010212222012000
42230011320022
543022102332
64250531430
71055311215
oct254057012
9103788160
1045112842
1123512a45
1213136b76
139466ab8
145dc477c
153e61b7c
hex2b05e0a

45112842 has 64 divisors (see below), whose sum is σ = 104807040. Its totient is φ = 14370048.

The previous prime is 45112831. The next prime is 45112853. The reversal of 45112842 is 24821154.

It is an interprime number because it is at equal distance from previous prime (45112831) and next prime (45112853).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 133698 + ... + 134034.

It is an arithmetic number, because the mean of its divisors is an integer number (1637610).

Almost surely, 245112842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45112842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52403520).

45112842 is an abundant number, since it is smaller than the sum of its proper divisors (59694198).

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

45112842 is a wasteful number, since it uses less digits than its factorization.

45112842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 45112842 is about 6716.6094124938. The cubic root of 45112842 is about 355.9863911391.

Adding to 45112842 its reverse (24821154), we get a palindrome (69933996).

It can be divided in two parts, 45112 and 842, that added together give a palindrome (45954).

The spelling of 45112842 in words is "forty-five million, one hundred twelve thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 54 67 74 111 134 201 222 333 337 402 603 666 674 999 1011 1206 1809 1998 2022 2479 3033 3618 4958 6066 7437 9099 12469 14874 18198 22311 22579 24938 37407 44622 45158 66933 67737 74814 112221 133866 135474 203211 224442 336663 406422 609633 673326 835423 1219266 1670846 2506269 5012538 7518807 15037614 22556421 45112842