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45193860 = 22325435839
BaseRepresentation
bin1010110001100…
…1101010000100
310011001002022200
42230121222010
543032200420
64252354500
71056066345
oct254315204
9104032280
1045193860
11235688a8
1213175a30
13949493a
1460060cc
153e7ab90
hex2b19a84

45193860 has 72 divisors (see below), whose sum is σ = 140300160. Its totient is φ = 11769408.

The previous prime is 45193859. The next prime is 45193867. The reversal of 45193860 is 6839154.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45193867) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4821 + ... + 10659.

Almost surely, 245193860 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 45193860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70150080).

45193860 is an abundant number, since it is smaller than the sum of its proper divisors (95106300).

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

45193860 is a wasteful number, since it uses less digits than its factorization.

45193860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5892 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 45193860 is about 6722.6378751202. The cubic root of 45193860 is about 356.1993686124.

The spelling of 45193860 in words is "forty-five million, one hundred ninety-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 5839 7740 11678 17517 23356 29195 35034 52551 58390 70068 87585 105102 116780 175170 210204 251077 262755 350340 502154 525510 753231 1004308 1051020 1255385 1506462 2259693 2510770 3012924 3766155 4519386 5021540 7532310 9038772 11298465 15064620 22596930 45193860