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4296081240 = 2334511149809
BaseRepresentation
bin1000000000001000…
…01111111101011000
3102002101211112120000
410000010033331120
532244244044430
61550143533000
7211314042123
oct40004177530
912071745500
104296081240
111905031470
129ba8ba160
13536079909
142ca7c73ba
151a225ce60
hex10010ff58

4296081240 has 320 divisors, whose sum is σ = 15877620000. Its totient is φ = 1033205760.

The previous prime is 4296081239. The next prime is 4296081253. The reversal of 4296081240 is 421806924.

4296081240 is a `hidden beast` number, since 4 + 2 + 9 + 608 + 1 + 2 + 40 = 666.

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 = 4296081195 and 4296081204.

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 79 ways as a sum of consecutive naturals, for example, 5309956 + ... + 5310764.

Almost surely, 24296081240 is an apocalyptic number.

4296081240 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 4296081240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7938810000).

4296081240 is an abundant number, since it is smaller than the sum of its proper divisors (11581538760).

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

4296081240 is a wasteful number, since it uses less digits than its factorization.

4296081240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4296081240 is about 65544.4981672756. The cubic root of 4296081240 is about 1625.6391950086.

The spelling of 4296081240 in words is "four billion, two hundred ninety-six million, eighty-one thousand, two hundred forty".