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4427418240 = 273257109807
BaseRepresentation
bin1000001111110010…
…10000101010000000
3102102112222011001100
410013321100222000
533031404340430
62011154534400
7214500301620
oct40771205200
912375864040
104427418240
111972186943
12a36897400
13557342b0b
14300014880
151ada52960
hex107e50a80

4427418240 has 192 divisors, whose sum is σ = 17472648960. Its totient is φ = 1011972096.

The previous prime is 4427418221. The next prime is 4427418241. The reversal of 4427418240 is 428147244.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 4427418195 and 4427418204.

It is not an unprimeable number, because it can be changed into a prime (4427418241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14584 + ... + 95223.

It is an arithmetic number, because the mean of its divisors is an integer number (91003380).

Almost surely, 24427418240 is an apocalyptic number.

4427418240 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 4427418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8736324480).

4427418240 is an abundant number, since it is smaller than the sum of its proper divisors (13045230720).

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

4427418240 is a wasteful number, since it uses less digits than its factorization.

4427418240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109839 (or 109824 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 4427418240 is about 66538.8476004807. The cubic root of 4427418240 is about 1642.0391846139.

The spelling of 4427418240 in words is "four billion, four hundred twenty-seven million, four hundred eighteen thousand, two hundred forty".