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4444970960 = 2451719312179
BaseRepresentation
bin1000010001111000…
…01101111111010000
3102110202222220212002
410020330031333100
533100403032320
62013023053132
7215102426003
oct41074157720
912422886762
104444970960
111981085521
12a407411a8
1355ab7a341
143024a353a
151b036d675
hex108f0dfd0

4444970960 has 240 divisors, whose sum is σ = 11968430400. Its totient is φ = 1525616640.

The previous prime is 4444970947. The next prime is 4444970963. The reversal of 4444970960 is 690794444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444970963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24832151 + ... + 24832329.

It is an arithmetic number, because the mean of its divisors is an integer number (49868460).

Almost surely, 24444970960 is an apocalyptic number.

4444970960 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 4444970960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984215200).

4444970960 is an abundant number, since it is smaller than the sum of its proper divisors (7523459440).

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

4444970960 is a wasteful number, since it uses less digits than its factorization.

4444970960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 47.

The square root of 4444970960 is about 66670.6154163887. The cubic root of 4444970960 is about 1644.2063052744.

The spelling of 4444970960 in words is "four billion, four hundred forty-four million, nine hundred seventy thousand, nine hundred sixty".