[go: up one dir, main page]

Search a number
-
+
45406440 = 2333542043
BaseRepresentation
bin1010110100110…
…1100011101000
310011102212221000
42231031203220
543111001230
64301115000
71060643202
oct255154350
9104385830
1045406440
11236a3592
1213258a60
13953a621
14605d772
153ebdb60
hex2b4d8e8

45406440 has 64 divisors (see below), whose sum is σ = 151358400. Its totient is φ = 12108096.

The previous prime is 45406423. The next prime is 45406453. The reversal of 45406440 is 4460454.

45406440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19942 + ... + 22101.

It is an arithmetic number, because the mean of its divisors is an integer number (2364975).

Almost surely, 245406440 is an apocalyptic number.

45406440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45406440 is an abundant number, since it is smaller than the sum of its proper divisors (105951960).

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

45406440 is a wasteful number, since it uses less digits than its factorization.

45406440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42063 (or 42053 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 45406440 is about 6738.4300842259. The cubic root of 45406440 is about 356.7569845319.

Adding to 45406440 its reverse (4460454), we get a palindrome (49866894).

The spelling of 45406440 in words is "forty-five million, four hundred six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 42043 84086 126129 168172 210215 252258 336344 378387 420430 504516 630645 756774 840860 1009032 1135161 1261290 1513548 1681720 1891935 2270322 2522580 3027096 3783870 4540644 5045160 5675805 7567740 9081288 11351610 15135480 22703220 45406440