Search a number
-
+
45044376 = 23313592447
BaseRepresentation
bin1010101111010…
…1001010011000
310010202111021020
42223311022120
543012410001
64245242440
71054604466
oct253651230
9103674236
1045044376
1123476563
1213103420
1394418a0
145da7836
153e4b736
hex2af5298

45044376 has 64 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 13619328.

The previous prime is 45044369. The next prime is 45044387. The reversal of 45044376 is 67344054.

It is a happy number.

45044376 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 15 ways as a sum of consecutive naturals, for example, 17185 + ... + 19631.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 245044376 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 45044376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

45044376 is an abundant number, since it is smaller than the sum of its proper divisors (78334824).

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

45044376 is a wasteful number, since it uses less digits than its factorization.

45044376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 45044376 is about 6711.5107092219. The cubic root of 45044376 is about 355.8062110725.

The spelling of 45044376 in words is "forty-five million, forty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 59 78 104 118 156 177 236 312 354 472 708 767 1416 1534 2301 2447 3068 4602 4894 6136 7341 9204 9788 14682 18408 19576 29364 31811 58728 63622 95433 127244 144373 190866 254488 288746 381732 433119 577492 763464 866238 1154984 1732476 1876849 3464952 3753698 5630547 7507396 11261094 15014792 22522188 45044376