Search a number
-
+
45712134 = 2331325009
BaseRepresentation
bin1010111001100…
…0001100000110
310012000102021000
42232120030012
543200242014
64311434130
71063355346
oct256301406
9105012230
1045712134
1123892226
1213385946
139616800
1460dcd26
15402e509
hex2b98306

45712134 has 48 divisors (see below), whose sum is σ = 110019600. Its totient is φ = 14062464.

The previous prime is 45712127. The next prime is 45712169. The reversal of 45712134 is 43121754.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 45712098 and 45712107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6622 + ... + 11630.

It is an arithmetic number, because the mean of its divisors is an integer number (2292075).

Almost surely, 245712134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45712134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55009800).

45712134 is an abundant number, since it is smaller than the sum of its proper divisors (64307466).

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

45712134 is a wasteful number, since it uses less digits than its factorization.

45712134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5027 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 45712134 is about 6761.0749145384. The cubic root of 45712134 is about 357.5558039610. Note that the first 3 decimals are identical.

Adding to 45712134 its reverse (43121754), we get a palindrome (88833888).

The spelling of 45712134 in words is "forty-five million, seven hundred twelve thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 3042 4563 5009 9126 10018 15027 30054 45081 65117 90162 130234 135243 195351 270486 390702 586053 846521 1172106 1693042 1758159 2539563 3516318 5079126 7618689 15237378 22856067 45712134