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440545040 = 24513423601
BaseRepresentation
bin11010010000100…
…010111100010000
31010200222000011222
4122100202330100
51400234420130
6111414224212
713626366605
oct3220427420
91120860158
10440545040
11206749011
12103655068
1370369250
144271a6ac
1528a21ce5
hex1a422f10

440545040 has 40 divisors (see below), whose sum is σ = 1103059608. Its totient is φ = 162662400.

The previous prime is 440544991. The next prime is 440545057. The reversal of 440545040 is 40545044.

It can be written as a sum of positive squares in 4 ways, for example, as 23078416 + 417466624 = 4804^2 + 20432^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (26).

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 7 ways as a sum of consecutive naturals, for example, 210761 + ... + 212840.

Almost surely, 2440545040 is an apocalyptic number.

440545040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440545040 is an abundant number, since it is smaller than the sum of its proper divisors (662514568).

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

440545040 is a wasteful number, since it uses less digits than its factorization.

440545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423627 (or 423621 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 440545040 is about 20989.1648237847. The cubic root of 440545040 is about 760.9044172941.

It can be divided in two parts, 44054 and 5040, that added together give a palindrome (49094).

The spelling of 440545040 in words is "four hundred forty million, five hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 423601 847202 1694404 2118005 3388808 4236010 5506813 6777616 8472020 11013626 16944040 22027252 27534065 33888080 44054504 55068130 88109008 110136260 220272520 440545040