[go: up one dir, main page]

Search a number
-
+
45413312 = 267167607
BaseRepresentation
bin1010110100111…
…1001111000000
310011110020100112
42231033033000
543111211222
64301210452
71061002220
oct255171700
9104406315
1045413312
11236a876a
1213260a28
1395407a9
146062080
153ec0be2
hex2b4f3c0

45413312 has 56 divisors (see below), whose sum is σ = 103778304. Its totient is φ = 19314432.

The previous prime is 45413311. The next prime is 45413321. The reversal of 45413312 is 21331454.

45413312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45413311) 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 7 ways as a sum of consecutive naturals, for example, 74513 + ... + 75119.

It is an arithmetic number, because the mean of its divisors is an integer number (1853184).

Almost surely, 245413312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51889152).

45413312 is an abundant number, since it is smaller than the sum of its proper divisors (58364992).

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

45413312 is a wasteful number, since it uses less digits than its factorization.

45413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 783 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 45413312 is about 6738.9399759903. The cubic root of 45413312 is about 356.7749813207.

Adding to 45413312 its reverse (21331454), we get a palindrome (66744766).

The spelling of 45413312 in words is "forty-five million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 167 224 334 448 607 668 1169 1214 1336 2338 2428 2672 4249 4676 4856 5344 8498 9352 9712 10688 16996 18704 19424 33992 37408 38848 67984 74816 101369 135968 202738 271936 405476 709583 810952 1419166 1621904 2838332 3243808 5676664 6487616 11353328 22706656 45413312