Search a number
-
+
45732984 = 23311211821
BaseRepresentation
bin1010111001110…
…1010001111000
310012001110212020
42232131101320
543201423414
64312114440
71063503213
oct256352170
9105043766
1045732984
11238a6960
1213395a20
13962314b
14610677a
1540357a9
hex2b9d478

45732984 has 64 divisors (see below), whose sum is σ = 125470080. Its totient is φ = 13776000.

The previous prime is 45732961. The next prime is 45732989. The reversal of 45732984 is 48923754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45732989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55294 + ... + 56114.

It is an arithmetic number, because the mean of its divisors is an integer number (1960470).

Almost surely, 245732984 is an apocalyptic number.

45732984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45732984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62735040).

45732984 is an abundant number, since it is smaller than the sum of its proper divisors (79737096).

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

45732984 is a wasteful number, since it uses less digits than its factorization.

45732984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1048 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 45732984 is about 6762.6166533377. The cubic root of 45732984 is about 357.6101579125.

It can be divided in two parts, 4573 and 2984, that added together give a palindrome (7557).

The spelling of 45732984 in words is "forty-five million, seven hundred thirty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 211 264 422 633 821 844 1266 1642 1688 2321 2463 2532 3284 4642 4926 5064 6568 6963 9031 9284 9852 13926 18062 18568 19704 27093 27852 36124 54186 55704 72248 108372 173231 216744 346462 519693 692924 1039386 1385848 1905541 2078772 3811082 4157544 5716623 7622164 11433246 15244328 22866492 45732984