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440127972 = 223319072137
BaseRepresentation
bin11010001110111…
…101000111100100
31010200011211002000
4122032331013210
51400133043342
6111401245300
713623011634
oct3216750744
91120154060
10440127972
11206493729
12103493830
137025146b
144264c6c4
152898d44c
hex1a3bd1e4

440127972 has 48 divisors (see below), whose sum is σ = 1142205120. Its totient is φ = 146563776.

The previous prime is 440127967. The next prime is 440127973. The reversal of 440127972 is 279721044.

440127972 is a `hidden beast` number, since 440 + 127 + 97 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (440127973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204888 + ... + 207024.

It is an arithmetic number, because the mean of its divisors is an integer number (23795940).

Almost surely, 2440127972 is an apocalyptic number.

It is an amenable number.

440127972 is an abundant number, since it is smaller than the sum of its proper divisors (702077148).

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

440127972 is a wasteful number, since it uses less digits than its factorization.

440127972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 440127972 is about 20979.2271544974. The cubic root of 440127972 is about 760.6642231004.

It can be divided in two parts, 44012 and 7972, that added together give a square (51984 = 2282).

The spelling of 440127972 in words is "four hundred forty million, one hundred twenty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1907 2137 3814 4274 5721 6411 7628 8548 11442 12822 17163 19233 22884 25644 34326 38466 51489 57699 68652 76932 102978 115398 205956 230796 4075259 8150518 12225777 16301036 24451554 36677331 48903108 73354662 110031993 146709324 220063986 440127972