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2484288440 = 23561216691
BaseRepresentation
bin1001010000010011…
…0011101110111000
320102010121221001222
42110010303232320
520041434212230
61050302531212
7115364050304
oct22404635670
96363557058
102484288440
111065352747
12593b96b08
133078bac7a
14197d20d04
15e81756e5
hex94133bb8

2484288440 has 48 divisors (see below), whose sum is σ = 5683125240. Its totient is φ = 977366400.

The previous prime is 2484288383. The next prime is 2484288449. The reversal of 2484288440 is 448824842.

It is a junction number, because it is equal to n+sod(n) for n = 2484288391 and 2484288400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2484288449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140495 + ... + 157185.

Almost surely, 22484288440 is an apocalyptic number.

2484288440 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 2484288440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841562620).

2484288440 is an abundant number, since it is smaller than the sum of its proper divisors (3198836800).

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

2484288440 is a wasteful number, since it uses less digits than its factorization.

2484288440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16824 (or 16759 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 44.

The square root of 2484288440 is about 49842.6367681326. The cubic root of 2484288440 is about 1354.3596489539.

The spelling of 2484288440 in words is "two billion, four hundred eighty-four million, two hundred eighty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 3721 7442 14884 16691 18605 29768 33382 37210 66764 74420 83455 133528 148840 166910 333820 667640 1018151 2036302 4072604 5090755 8145208 10181510 20363020 40726040 62107211 124214422 248428844 310536055 496857688 621072110 1242144220 2484288440