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1049149440 = 2143251423
BaseRepresentation
bin111110100010001…
…100000000000000
32201010011022110200
4332202030000000
54122040240230
6252034525200
734666423503
oct7642140000
92633138420
101049149440
11499243559
12253436800
131394883b1
149d4a313a
156218e160
hex3e88c000

1049149440 has 180 divisors, whose sum is σ = 3639496224. Its totient is φ = 279576576.

The previous prime is 1049149433. The next prime is 1049149459. The reversal of 1049149440 is 449419401.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10491494402 = 2201429094904627200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1049149395 and 1049149404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736569 + ... + 737991.

Almost surely, 21049149440 is an apocalyptic number.

1049149440 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 1049149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819748112).

1049149440 is an abundant number, since it is smaller than the sum of its proper divisors (2590346784).

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

1049149440 is an equidigital number, since it uses as much as digits as its factorization.

1049149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1049149440 is about 32390.5764073442. The cubic root of 1049149440 is about 1016.1218362995.

The spelling of 1049149440 in words is "one billion, forty-nine million, one hundred forty-nine thousand, four hundred forty".