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45009390 = 23523374143
BaseRepresentation
bin1010101110110…
…0100111101110
310010200201021110
42223230213232
543010300030
64244412450
71054400466
oct253544756
9103621243
1045009390
1123452248
12130a7126
13942b99a
145d98ba6
153e411b0
hex2aec9ee

45009390 has 128 divisors (see below), whose sum is σ = 121347072. Its totient is φ = 10644480.

The previous prime is 45009379. The next prime is 45009403. The reversal of 45009390 is 9390054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1046709 + ... + 1046751.

It is an arithmetic number, because the mean of its divisors is an integer number (948024).

Almost surely, 245009390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45009390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60673536).

45009390 is an abundant number, since it is smaller than the sum of its proper divisors (76337682).

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

45009390 is a wasteful number, since it uses less digits than its factorization.

45009390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154.

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 45009390 is about 6708.9037852692. The cubic root of 45009390 is about 355.7140688974.

The spelling of 45009390 in words is "forty-five million, nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 37 41 43 46 69 74 82 86 111 115 123 129 138 185 205 215 222 230 246 258 345 370 410 430 555 615 645 690 851 943 989 1110 1230 1290 1517 1591 1702 1763 1886 1978 2553 2829 2967 3034 3182 3526 4255 4551 4715 4773 4945 5106 5289 5658 5934 7585 7955 8510 8815 9102 9430 9546 9890 10578 12765 14145 14835 15170 15910 17630 22755 23865 25530 26445 28290 29670 34891 36593 40549 45510 47730 52890 65231 69782 73186 81098 104673 109779 121647 130462 174455 182965 195693 202745 209346 219558 243294 326155 348910 365930 391386 405490 523365 548895 608235 652310 978465 1046730 1097790 1216470 1500313 1956930 3000626 4500939 7501565 9001878 15003130 22504695 45009390