Search a number
-
+
2421469440 = 2832513192337
BaseRepresentation
bin1001000001010100…
…1011000100000000
320020202102101121100
42100111023010000
514424344010230
61040140254400
7114002102445
oct22025130400
96222371540
102421469440
111032946915
12576b41400
132c7894b70
1418d84b9cc
15e28b7660
hex9054b100

2421469440 has 864 divisors, whose sum is σ = 10178138880. Its totient is φ = 525533184.

The previous prime is 2421469399. The next prime is 2421469447. The reversal of 2421469440 is 449641242.

It is a happy number.

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 = 2421469395 and 2421469404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2421469447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65445102 + ... + 65445138.

Almost surely, 22421469440 is an apocalyptic number.

2421469440 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 2421469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089069440).

2421469440 is an abundant number, since it is smaller than the sum of its proper divisors (7756669440).

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

2421469440 is a wasteful number, since it uses less digits than its factorization.

2421469440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2421469440 is about 49208.4285463375. The cubic root of 2421469440 is about 1342.8463740109.

The spelling of 2421469440 in words is "two billion, four hundred twenty-one million, four hundred sixty-nine thousand, four hundred forty".