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1004444420 = 22578386441
BaseRepresentation
bin111011110111101…
…001101100000100
32121000001001201012
4323313221230010
54024114210140
6243400421352
733614431250
oct7367515404
92530031635
101004444420
11475a89a61
12240477858
13130135115
1497587260
155d2ad265
hex3bde9b04

1004444420 has 48 divisors (see below), whose sum is σ = 2439739008. Its totient is φ = 340227840.

The previous prime is 1004444383. The next prime is 1004444429. The reversal of 1004444420 is 244444001.

It is not an unprimeable number, because it can be changed into a prime (1004444429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31601 + ... + 54840.

It is an arithmetic number, because the mean of its divisors is an integer number (50827896).

Almost surely, 21004444420 is an apocalyptic number.

1004444420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004444420 is an abundant number, since it is smaller than the sum of its proper divisors (1435294588).

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

1004444420 is a wasteful number, since it uses less digits than its factorization.

1004444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86540 (or 86538 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 1004444420 is about 31692.9711450347. The cubic root of 1004444420 is about 1001.4792839732.

Adding to 1004444420 its reverse (244444001), we get a palindrome (1248888421).

The spelling of 1004444420 in words is "one billion, four million, four hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 2324 2905 5810 11620 86441 172882 345764 432205 605087 864410 1210174 1728820 2420348 3025435 6050870 7174603 12101740 14349206 28698412 35873015 50222221 71746030 100444442 143492060 200888884 251111105 502222210 1004444420