Search a number
-
+
45375210 = 23251747631
BaseRepresentation
bin1010110100010…
…1111011101010
310011101022002100
42231011323222
543104001320
64300314230
71060453146
oct255057352
9104338070
1045375210
1123682081
1213242976
13952934a
146052226
153eb4790
hex2b45eea

45375210 has 96 divisors (see below), whose sum is σ = 127775232. Its totient is φ = 11128320.

The previous prime is 45375203. The next prime is 45375217. The reversal of 45375210 is 1257354.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45375203) and next prime (45375217).

It is not an unprimeable number, because it can be changed into a prime (45375217) 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, 71595 + ... + 72225.

It is an arithmetic number, because the mean of its divisors is an integer number (1330992).

Almost surely, 245375210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45375210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63887616).

45375210 is an abundant number, since it is smaller than the sum of its proper divisors (82400022).

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

45375210 is a wasteful number, since it uses less digits than its factorization.

45375210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 45375210 is about 6736.1123802977. The cubic root of 45375210 is about 356.6751747274.

The spelling of 45375210 in words is "forty-five million, three hundred seventy-five thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 47 51 85 90 94 102 141 153 170 235 255 282 306 423 470 510 631 705 765 799 846 1262 1410 1530 1598 1893 2115 2397 3155 3786 3995 4230 4794 5679 6310 7191 7990 9465 10727 11358 11985 14382 18930 21454 23970 28395 29657 32181 35955 53635 56790 59314 64362 71910 88971 96543 107270 148285 160905 177942 193086 266913 296570 321810 444855 482715 504169 533826 889710 965430 1008338 1334565 1512507 2520845 2669130 3025014 4537521 5041690 7562535 9075042 15125070 22687605 45375210