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4021482240 = 28325192967
BaseRepresentation
bin1110111110110010…
…1111001100000000
3101101021010110112200
43233230233030000
531213444412430
61503014153200
7201441015006
oct35754571400
911337113480
104021482240
111784027146
12942952800
134c12036b9
142a2146a76
151880ba460
hexefb2f300

4021482240 has 324 divisors, whose sum is σ = 14699949264. Its totient is φ = 1014902784.

The previous prime is 4021482217. The next prime is 4021482247. The reversal of 4021482240 is 422841204.

4021482240 is a `hidden beast` number, since 402 + 14 + 8 + 2 + 240 = 666.

It is not an unprimeable number, because it can be changed into a prime (4021482247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4158237 + ... + 4159203.

Almost surely, 24021482240 is an apocalyptic number.

4021482240 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 4021482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7349974632).

4021482240 is an abundant number, since it is smaller than the sum of its proper divisors (10678467024).

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

4021482240 is a wasteful number, since it uses less digits than its factorization.

4021482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4021482240 is about 63415.1578094701. The cubic root of 4021482240 is about 1590.2377240379.

The spelling of 4021482240 in words is "four billion, twenty-one million, four hundred eighty-two thousand, two hundred forty".