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4942859040 = 2532574391117
BaseRepresentation
bin1001001101001111…
…00000101100100000
3110202110212020220100
410212213200230200
540110332442130
62134250342400
7233326415520
oct44647405440
913673766810
104942859040
11210712a179
12b5b42aa00
1360a073082
1434c669680
151dde1ac60
hex1269e0b20

4942859040 has 288 divisors, whose sum is σ = 19338359040. Its totient is φ = 1126213632.

The previous prime is 4942858979. The next prime is 4942859041. The reversal of 4942859040 is 409582494.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4942859041) by changing a digit.

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, 4424562 + ... + 4425678.

It is an arithmetic number, because the mean of its divisors is an integer number (67147080).

Almost surely, 24942859040 is an apocalyptic number.

4942859040 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 4942859040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9669179520).

4942859040 is an abundant number, since it is smaller than the sum of its proper divisors (14395500000).

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

4942859040 is a wasteful number, since it uses less digits than its factorization.

4942859040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4942859040 is about 70305.4694885113. The cubic root of 4942859040 is about 1703.4369957791.

The spelling of 4942859040 in words is "four billion, nine hundred forty-two million, eight hundred fifty-nine thousand, forty".