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1004425440 = 253529591223
BaseRepresentation
bin111011110111100…
…101000011100000
32121000000002200020
4323313211003200
54024113103230
6243400153440
733614322024
oct7367450340
92530002606
101004425440
11475a76777
12240468880
131301295a5
1497580384
155d2a7810
hex3bde50e0

1004425440 has 192 divisors, whose sum is σ = 3331238400. Its totient is φ = 254019584.

The previous prime is 1004425403. The next prime is 1004425441. The reversal of 1004425440 is 445244001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1004425440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004425441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 820669 + ... + 821891.

It is an arithmetic number, because the mean of its divisors is an integer number (17350200).

Almost surely, 21004425440 is an apocalyptic number.

1004425440 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 1004425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665619200).

1004425440 is an abundant number, since it is smaller than the sum of its proper divisors (2326812960).

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

1004425440 is a wasteful number, since it uses less digits than its factorization.

1004425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 1004425440 is about 31692.6717081410. The cubic root of 1004425440 is about 1001.4729759433.

Adding to 1004425440 its reverse (445244001), we get a palindrome (1449669441).

The spelling of 1004425440 in words is "one billion, four million, four hundred twenty-five thousand, four hundred forty".