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2444207040 = 263251177153
BaseRepresentation
bin1001000110101111…
…1010001111000000
320022100012120201200
42101223322033000
520001204111130
61042311501200
7114366263022
oct22153721700
96270176650
102444207040
111044766a20
12582687800
132cc4c6372
1419288a012
15e48a9760
hex91afa3c0

2444207040 has 168 divisors, whose sum is σ = 9171450288. Its totient is φ = 592527360.

The previous prime is 2444207009. The next prime is 2444207053. The reversal of 2444207040 is 407024442.

It is a junction number, because it is equal to n+sod(n) for n = 2444206995 and 2444207013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6897 + ... + 70256.

It is an arithmetic number, because the mean of its divisors is an integer number (54591966).

Almost surely, 22444207040 is an apocalyptic number.

2444207040 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 2444207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585725144).

2444207040 is an abundant number, since it is smaller than the sum of its proper divisors (6727243248).

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

2444207040 is a wasteful number, since it uses less digits than its factorization.

2444207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77187 (or 77174 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 2444207040 is about 49438.9223183516. The cubic root of 2444207040 is about 1347.0363959921.

The spelling of 2444207040 in words is "two billion, four hundred forty-four million, two hundred seven thousand, forty".