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4283072640 = 273457112937
BaseRepresentation
bin1111111101001010…
…1000000010000000
3102001111100122010000
43333102220002000
532232431311030
61545001040000
7211065342150
oct37722500200
912044318100
104283072640
1118a8756960
129b6486000
13533473812
142c8b9c760
151a103d860
hexff4a8080

4283072640 has 1280 divisors, whose sum is σ = 20260627200. Its totient is φ = 836075520.

The previous prime is 4283072639. The next prime is 4283072671. The reversal of 4283072640 is 462703824.

4283072640 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 0 + 7 + 2 + 640 = 666.

It is a super-2 number, since 2×42830726402 = 36689422479033139200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4283072595 and 4283072604.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 115758702 + ... + 115758738.

It is an arithmetic number, because the mean of its divisors is an integer number (15828615).

Almost surely, 24283072640 is an apocalyptic number.

4283072640 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 4283072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10130313600).

4283072640 is an abundant number, since it is smaller than the sum of its proper divisors (15977554560).

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

4283072640 is a wasteful number, since it uses less digits than its factorization.

4283072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4283072640 is about 65445.1880584050. The cubic root of 4283072640 is about 1623.9967159211.

The spelling of 4283072640 in words is "four billion, two hundred eighty-three million, seventy-two thousand, six hundred forty".