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45014046 = 23721131449
BaseRepresentation
bin1010101110110…
…1110000011110
310010200221122220
42223231300132
543010422141
64244450210
71054420200
oct253556036
9103627586
1045014046
11234557a0
12130a9966
139430b3c
145d9a770
153e42766
hex2aedc1e

45014046 has 96 divisors (see below), whose sum is σ = 118195200. Its totient is φ = 11289600.

The previous prime is 45014041. The next prime is 45014051. The reversal of 45014046 is 64041054.

It is an interprime number because it is at equal distance from previous prime (45014041) and next prime (45014051).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45014041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100030 + ... + 100478.

It is an arithmetic number, because the mean of its divisors is an integer number (1231200).

Almost surely, 245014046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45014046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59097600).

45014046 is an abundant number, since it is smaller than the sum of its proper divisors (73181154).

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

45014046 is a wasteful number, since it uses less digits than its factorization.

45014046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 45014046 is about 6709.2507778440. The cubic root of 45014046 is about 355.7263340980.

The spelling of 45014046 in words is "forty-five million, fourteen thousand, forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 49 62 66 77 93 98 147 154 186 217 231 294 341 434 449 462 539 651 682 898 1023 1078 1302 1347 1519 1617 2046 2387 2694 3038 3143 3234 4557 4774 4939 6286 7161 9114 9429 9878 13919 14322 14817 16709 18858 22001 27838 29634 33418 34573 41757 44002 50127 66003 69146 83514 97433 100254 103719 132006 153109 194866 207438 242011 292299 306218 459327 484022 584598 682031 726033 918654 1071763 1364062 1452066 2046093 2143526 3215289 4092186 6430578 7502341 15004682 22507023 45014046