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4489779840 = 273572133671
BaseRepresentation
bin1000010111001110…
…01001101010000000
3102120220022110002020
410023213021222000
533143340423330
62021303321440
7216155333100
oct41347115200
912526273066
104489779840
1119a4400057
12a53750280
13567238980
14308409200
151b4270210
hex10b9c9a80

4489779840 has 384 divisors, whose sum is σ = 17933166720. Its totient is φ = 947036160.

The previous prime is 4489779823. The next prime is 4489779859. The reversal of 4489779840 is 489779844.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 47 ways as a sum of consecutive naturals, for example, 1221205 + ... + 1224875.

It is an arithmetic number, because the mean of its divisors is an integer number (46700955).

Almost surely, 24489779840 is an apocalyptic number.

4489779840 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 4489779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8966583360).

4489779840 is an abundant number, since it is smaller than the sum of its proper divisors (13443386880).

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

4489779840 is a wasteful number, since it uses less digits than its factorization.

4489779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3701 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The square root of 4489779840 is about 67005.8194487613. The cubic root of 4489779840 is about 1649.7128168689.

The spelling of 4489779840 in words is "four billion, four hundred eighty-nine million, seven hundred seventy-nine thousand, eight hundred forty".