Search a number
-
+
45907230 = 23519431873
BaseRepresentation
bin1010111100011…
…1110100011110
310012101022212210
42233013310132
543223012410
64315541250
71065130215
oct257076436
9105338783
1045907230
1123a05866
121345a826
139684555
14615007c
15406c220
hex2bc7d1e

45907230 has 64 divisors (see below), whose sum is σ = 118736640. Its totient is φ = 11321856.

The previous prime is 45907207. The next prime is 45907231. The reversal of 45907230 is 3270954.

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 not an unprimeable number, because it can be changed into a prime (45907231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23574 + ... + 25446.

It is an arithmetic number, because the mean of its divisors is an integer number (1855260).

Almost surely, 245907230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45907230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59368320).

45907230 is an abundant number, since it is smaller than the sum of its proper divisors (72829410).

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

45907230 is a wasteful number, since it uses less digits than its factorization.

45907230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 45907230 is about 6775.4874363399. The cubic root of 45907230 is about 358.0637559016.

The spelling of 45907230 in words is "forty-five million, nine hundred seven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 43 57 86 95 114 129 190 215 258 285 430 570 645 817 1290 1634 1873 2451 3746 4085 4902 5619 8170 9365 11238 12255 18730 24510 28095 35587 56190 71174 80539 106761 161078 177935 213522 241617 355870 402695 483234 533805 805390 1067610 1208085 1530241 2416170 3060482 4590723 7651205 9181446 15302410 22953615 45907230