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1004440000 = 265425111
BaseRepresentation
bin111011110111101…
…000100111000000
32121000000211122111
4323313220213000
54024114040000
6243400345104
733614412334
oct7367504700
92530024574
101004440000
11475a86703
12240475194
131301330c5
14975857c4
155d2abcba
hex3bde89c0

1004440000 has 70 divisors (see below), whose sum is σ = 2490783944. Its totient is φ = 401760000.

The previous prime is 1004439991. The next prime is 1004440001. The reversal of 1004440000 is 444001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004440001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 27445 + ... + 52555.

Almost surely, 21004440000 is an apocalyptic number.

1004440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245391972).

1004440000 is an abundant number, since it is smaller than the sum of its proper divisors (1486343944).

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

1004440000 is an frugal number, since it uses more digits than its factorization.

1004440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25143 (or 25118 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 1004440000 is about 31692.9014134080. The cubic root of 1004440000 is about 1001.4778149870.

Adding to 1004440000 its reverse (444001), we get a palindrome (1004884001).

The spelling of 1004440000 in words is "one billion, four million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 25111 40000 50222 100444 125555 200888 251110 401776 502220 627775 803552 1004440 1255550 1607104 2008880 2511100 3138875 4017760 5022200 6277750 8035520 10044400 12555500 15694375 20088800 25111000 31388750 40177600 50222000 62777500 100444000 125555000 200888000 251110000 502220000 1004440000