Search a number
-
+
2489059440 = 2432573189179
BaseRepresentation
bin1001010001011100…
…0000100001110000
320102110121022122200
42110113000201300
520044144400230
61050553103200
7115452441030
oct22427004160
96373538580
102489059440
11106801121a
125956b7b00
1330889b74a
141988038c0
15e87b9160
hex945c0870

2489059440 has 480 divisors, whose sum is σ = 10027929600. Its totient is φ = 541347840.

The previous prime is 2489059439. The next prime is 2489059457. The reversal of 2489059440 is 449509842.

It is a super-2 number, since 2×24890594402 = 12390833791706227200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13905271 + ... + 13905449.

It is an arithmetic number, because the mean of its divisors is an integer number (20891520).

Almost surely, 22489059440 is an apocalyptic number.

2489059440 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 2489059440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013964800).

2489059440 is an abundant number, since it is smaller than the sum of its proper divisors (7538870160).

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

2489059440 is a wasteful number, since it uses less digits than its factorization.

2489059440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2489059440 is about 49890.4744415204. The cubic root of 2489059440 is about 1355.2260966285.

The spelling of 2489059440 in words is "two billion, four hundred eighty-nine million, fifty-nine thousand, four hundred forty".