Search a number
-
+
45431440 = 2452324691
BaseRepresentation
bin1010110101001…
…1101010010000
310011111011012221
42231103222100
543112301230
64301430424
71061106115
oct255235220
9104434187
1045431440
112371034a
121326b414
139548b12
14606890c
153ec627a
hex2b53a90

45431440 has 40 divisors (see below), whose sum is σ = 110225088. Its totient is φ = 17381760.

The previous prime is 45431423. The next prime is 45431447. The reversal of 45431440 is 4413454.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (45431447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10506 + ... + 14185.

Almost surely, 245431440 is an apocalyptic number.

45431440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45431440 is an abundant number, since it is smaller than the sum of its proper divisors (64793648).

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

45431440 is a wasteful number, since it uses less digits than its factorization.

45431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24727 (or 24721 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 45431440 is about 6740.2848604491. The cubic root of 45431440 is about 356.8224472596.

Subtracting from 45431440 its product of nonzero digits (3840), we obtain a square (45427600 = 67402).

Adding to 45431440 its reverse (4413454), we get a palindrome (49844894).

The spelling of 45431440 in words is "forty-five million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 24691 49382 98764 123455 197528 246910 395056 493820 567893 987640 1135786 1975280 2271572 2839465 4543144 5678930 9086288 11357860 22715720 45431440