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45189774 = 232717373
BaseRepresentation
bin1010110001100…
…0101010001110
310011000212201100
42230120222032
543032033044
64252323530
71056051420
oct254305216
9104025640
1045189774
1123565823
12131735a6
139492b16
146004810
153e79869
hex2b18a8e

45189774 has 96 divisors (see below), whose sum is σ = 120519360. Its totient is φ = 11985408.

The previous prime is 45189773. The next prime is 45189797. The reversal of 45189774 is 47798154.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45189773) 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, 619002 + ... + 619074.

It is an arithmetic number, because the mean of its divisors is an integer number (1255410).

Almost surely, 245189774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45189774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60259680).

45189774 is an abundant number, since it is smaller than the sum of its proper divisors (75329586).

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

45189774 is a wasteful number, since it uses less digits than its factorization.

45189774 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 102 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 45189774 is about 6722.3339696864. Note that the first 3 decimals coincide. The cubic root of 45189774 is about 356.1886335665.

The spelling of 45189774 in words is "forty-five million, one hundred eighty-nine thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 73 102 119 126 146 153 219 238 289 306 357 438 511 578 657 714 867 1022 1071 1241 1314 1533 1734 2023 2142 2482 2601 3066 3723 4046 4599 4913 5202 6069 7446 8687 9198 9826 11169 12138 14739 17374 18207 21097 22338 26061 29478 34391 36414 42194 44217 52122 63291 68782 78183 88434 103173 126582 147679 156366 189873 206346 295358 309519 358649 379746 443037 619038 717298 886074 1075947 1329111 2151894 2510543 2658222 3227841 5021086 6455682 7531629 15063258 22594887 45189774