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4050930240 = 263257434673
BaseRepresentation
bin1111000101110100…
…0100101001000000
3101110022112120121100
43301131010221000
531244014231430
61505545254400
7202246224150
oct36135045100
911408476540
104050930240
11179970a935
12950794400
134c7344356
142a6010760
1518a985960
hexf1744a40

4050930240 has 336 divisors, whose sum is σ = 16297826688. Its totient is φ = 904200192.

The previous prime is 4050930217. The next prime is 4050930241. The reversal of 4050930240 is 420390504.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (4050930241) 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, 864544 + ... + 869216.

Almost surely, 24050930240 is an apocalyptic number.

4050930240 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 4050930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8148913344).

4050930240 is an abundant number, since it is smaller than the sum of its proper divisors (12246896448).

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

4050930240 is a wasteful number, since it uses less digits than its factorization.

4050930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 4733 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4050930240 is about 63646.9185428486. The cubic root of 4050930240 is about 1594.1098848643.

The spelling of 4050930240 in words is "four billion, fifty million, nine hundred thirty thousand, two hundred forty".