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4498338240 = 26365111753
BaseRepresentation
bin1000011000001111…
…10011000111000000
3102121111102021000000
410030013303013000
533203033310430
62022211000000
7216321146514
oct41407630700
912544367000
104498338240
1119a9216110
12a56599000
13568c44306
143095d6144
151b4db0e60
hex10c1f31c0

4498338240 has 392 divisors, whose sum is σ = 17530163568. Its totient is φ = 1089884160.

The previous prime is 4498338209. The next prime is 4498338263. The reversal of 4498338240 is 428338944.

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 (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2565204 + ... + 2566956.

Almost surely, 24498338240 is an apocalyptic number.

4498338240 is a gapful number since it is divisible by the number (40) 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 4498338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8765081784).

4498338240 is an abundant number, since it is smaller than the sum of its proper divisors (13031825328).

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

4498338240 is a wasteful number, since it uses less digits than its factorization.

4498338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4498338240 is about 67069.6521535635. The cubic root of 4498338240 is about 1650.7603768111.

The spelling of 4498338240 in words is "four billion, four hundred ninety-eight million, three hundred thirty-eight thousand, two hundred forty".