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45572982 = 237131923191
BaseRepresentation
bin1010110111011…
…0001101110110
310011202100101020
42231312031312
543131313412
64304442010
71062235560
oct255661566
9104670336
1045572982
11237a7724
1213319306
139598380
1460a4330
15400318c
hex2b76376

45572982 has 128 divisors (see below), whose sum is σ = 123863040. Its totient is φ = 10834560.

The previous prime is 45572981. The next prime is 45572993. The reversal of 45572982 is 28927554.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45572981) 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, 238507 + ... + 238697.

It is an arithmetic number, because the mean of its divisors is an integer number (967680).

Almost surely, 245572982 is an apocalyptic number.

45572982 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45572982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61931520).

45572982 is an abundant number, since it is smaller than the sum of its proper divisors (78290058).

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

45572982 is a wasteful number, since it uses less digits than its factorization.

45572982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258.

The product of its digits is 201600, while the sum is 42.

The square root of 45572982 is about 6750.7763997928. The cubic root of 45572982 is about 357.1926241200.

It can be divided in two parts, 455 and 72982, that added together give a palindrome (73437).

The spelling of 45572982 in words is "forty-five million, five hundred seventy-two thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 13 14 19 21 23 26 38 39 42 46 57 69 78 91 114 133 138 161 182 191 247 266 273 299 322 382 399 437 483 494 546 573 598 741 798 874 897 966 1146 1311 1337 1482 1729 1794 2093 2483 2622 2674 3059 3458 3629 4011 4186 4393 4966 5187 5681 6118 6279 7258 7449 8022 8786 9177 10374 10887 11362 12558 13179 14898 17043 17381 18354 21774 25403 26358 30751 34086 34762 39767 47177 50806 52143 57109 61502 76209 79534 83467 92253 94354 104286 114218 119301 141531 152418 166934 171327 184506 238602 250401 283062 330239 342654 399763 500802 584269 660478 799526 990717 1085071 1168538 1199289 1752807 1981434 2170142 2398578 3255213 3505614 6510426 7595497 15190994 22786491 45572982