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45311344 = 24131791217
BaseRepresentation
bin1010110011011…
…0010101110000
310011021001110221
42230312111300
543044430334
64255102424
71060066021
oct254662560
9104231427
1045311344
11236390a1
1213211a14
139506260
146036c48
153ea08b4
hex2b36570

45311344 has 40 divisors (see below), whose sum is σ = 95150160. Its totient is φ = 20779008.

The previous prime is 45311339. The next prime is 45311353. The reversal of 45311344 is 44311354.

45311344 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 an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 36624 + ... + 37840.

It is an arithmetic number, because the mean of its divisors is an integer number (2378754).

Almost surely, 245311344 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 45311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47575080).

45311344 is an abundant number, since it is smaller than the sum of its proper divisors (49838816).

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

45311344 is a wasteful number, since it uses less digits than its factorization.

45311344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1411 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 45311344 is about 6731.3701428461. The cubic root of 45311344 is about 356.5077550249.

Adding to 45311344 its reverse (44311354), we get a palindrome (89622698).

The spelling of 45311344 in words is "forty-five million, three hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 179 208 358 716 1217 1432 2327 2434 2864 4654 4868 9308 9736 15821 18616 19472 31642 37232 63284 126568 217843 253136 435686 871372 1742744 2831959 3485488 5663918 11327836 22655672 45311344