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440538020 = 225131694377
BaseRepresentation
bin11010010000100…
…001001110100100
31010200221122112222
4122100201032210
51400234204040
6111414131512
713626340256
oct3220411644
91120848488
10440538020
1120674380a
12103650b98
1370365cb0
1442717cd6
1528a1ebb5
hex1a4213a4

440538020 has 24 divisors (see below), whose sum is σ = 996294264. Its totient is φ = 162660096.

The previous prime is 440537987. The next prime is 440538023. The reversal of 440538020 is 20835044.

It can be written as a sum of positive squares in 4 ways, for example, as 209764 + 440328256 = 458^2 + 20984^2 .

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

It is not an unprimeable number, because it can be changed into a prime (440538023) by changing a digit.

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, 846929 + ... + 847448.

It is an arithmetic number, because the mean of its divisors is an integer number (41512261).

Almost surely, 2440538020 is an apocalyptic number.

It is an amenable number.

440538020 is an abundant number, since it is smaller than the sum of its proper divisors (555756244).

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

440538020 is a wasteful number, since it uses less digits than its factorization.

440538020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694399 (or 1694397 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 440538020 is about 20988.9975939777. The cubic root of 440538020 is about 760.9003756510.

The spelling of 440538020 in words is "four hundred forty million, five hundred thirty-eight thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1694377 3388754 6777508 8471885 16943770 22026901 33887540 44053802 88107604 110134505 220269010 440538020