Search a number
-
+
2898109440 = 210325109577
BaseRepresentation
bin1010110010111101…
…1010010000000000
321110222022012202200
42230233122100000
521413404000230
61155324313200
7131550344442
oct25457322000
97428265680
102898109440
1112579a8576
1268a6a2800
1337255b375
141d6c82492
1511e669160
hexacbda400

2898109440 has 264 divisors, whose sum is σ = 10151564280. Its totient is φ = 764411904.

The previous prime is 2898109439. The next prime is 2898109481. The reversal of 2898109440 is 449018982.

It can be written as a sum of positive squares in 4 ways, for example, as 1416167424 + 1481942016 = 37632^2 + 38496^2 .

It is a super-2 number, since 2×28981094402 = 16798076652434227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5022432 + ... + 5023008.

It is an arithmetic number, because the mean of its divisors is an integer number (38452895).

Almost surely, 22898109440 is an apocalyptic number.

2898109440 is a gapful number since it is divisible by the number (20) 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 2898109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075782140).

2898109440 is an abundant number, since it is smaller than the sum of its proper divisors (7253454840).

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

2898109440 is a wasteful number, since it uses less digits than its factorization.

2898109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2898109440 is about 53834.0918006425. The cubic root of 2898109440 is about 1425.7331924062.

The spelling of 2898109440 in words is "two billion, eight hundred ninety-eight million, one hundred nine thousand, four hundred forty".