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4398051840 = 293572132931
BaseRepresentation
bin1000001100010010…
…01111001000000000
3102100111201011220220
410012021033020000
533001400124330
62004225303040
7213662552400
oct40611171000
912314634826
104398051840
111957649496
12a28a94a80
13551230350
142da16c800
151ab1a1710
hex10624f200

4398051840 has 960 divisors, whose sum is σ = 18808796160. Its totient is φ = 867041280.

The previous prime is 4398051839. The next prime is 4398051851. The reversal of 4398051840 is 481508934.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4398051792 and 4398051801.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141872625 + ... + 141872655.

It is an arithmetic number, because the mean of its divisors is an integer number (19592496).

Almost surely, 24398051840 is an apocalyptic number.

4398051840 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 4398051840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9404398080).

4398051840 is an abundant number, since it is smaller than the sum of its proper divisors (14410744320).

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

4398051840 is a wasteful number, since it uses less digits than its factorization.

4398051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 4398051840 is about 66317.8093727469. The cubic root of 4398051840 is about 1638.4006617226.

The spelling of 4398051840 in words is "four billion, three hundred ninety-eight million, fifty-one thousand, eight hundred forty".