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45913770 = 23357171429
BaseRepresentation
bin1010111100100…
…1011010101010
310012101122212000
42233021122222
543223220040
64320031430
71065155250
oct257113252
9105348760
1045913770
1123a0a771
1213462576
139687516
1461525d0
15406e130
hex2bc96aa

45913770 has 128 divisors (see below), whose sum is σ = 148262400. Its totient is φ = 9870336.

The previous prime is 45913733. The next prime is 45913771. The reversal of 45913770 is 7731954.

It is a happy number.

45913770 is a `hidden beast` number, since 459 + 137 + 70 = 666.

It is a super-2 number, since 2×459137702 = 4216148551225800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45913771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31416 + ... + 32844.

It is an arithmetic number, because the mean of its divisors is an integer number (1158300).

Almost surely, 245913770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45913770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74131200).

45913770 is an abundant number, since it is smaller than the sum of its proper divisors (102348630).

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

45913770 is a wasteful number, since it uses less digits than its factorization.

45913770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 45913770 is about 6775.9700412561. The cubic root of 45913770 is about 358.0807584941.

The spelling of 45913770 in words is "forty-five million, nine hundred thirteen thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 85 90 102 105 119 126 135 153 170 189 210 238 255 270 306 315 357 378 459 510 595 630 714 765 918 945 1071 1190 1429 1530 1785 1890 2142 2295 2858 3213 3570 4287 4590 5355 6426 7145 8574 10003 10710 12861 14290 16065 20006 21435 24293 25722 30009 32130 38583 42870 48586 50015 60018 64305 72879 77166 90027 100030 121465 128610 145758 150045 170051 180054 192915 218637 242930 270081 300090 340102 364395 385830 437274 450135 510153 540162 655911 728790 850255 900270 1020306 1093185 1311822 1350405 1530459 1700510 2186370 2550765 2700810 3060918 3279555 4591377 5101530 6559110 7652295 9182754 15304590 22956885 45913770