Search a number
-
+
45684464 = 247258271
BaseRepresentation
bin1010111001000…
…1011011110000
310011222000022012
42232101123300
543143400324
64311102052
71063211600
oct256213360
9104860265
1045684464
1123873461
1213371928
139607037
1460d2c00
15402620e
hex2b916f0

45684464 has 30 divisors (see below), whose sum is σ = 102966624. Its totient is φ = 19578720.

The previous prime is 45684461. The next prime is 45684469. The reversal of 45684464 is 46448654.

45684464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45684461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28352 + ... + 29919.

Almost surely, 245684464 is an apocalyptic number.

It is an amenable number.

45684464 is an abundant number, since it is smaller than the sum of its proper divisors (57282160).

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

45684464 is a wasteful number, since it uses less digits than its factorization.

45684464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58293 (or 58280 counting only the distinct ones).

The product of its digits is 368640, while the sum is 41.

The square root of 45684464 is about 6759.0283325342. The cubic root of 45684464 is about 357.4836453959.

The spelling of 45684464 in words is "forty-five million, six hundred eighty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 58271 116542 233084 407897 466168 815794 932336 1631588 2855279 3263176 5710558 6526352 11421116 22842232 45684464