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8428246368 = 253106382591
BaseRepresentation
bin1111101100101110…
…01101010101100000
3210202101020021110220
413312113031111200
5114230112340433
63512154323040
7415600624563
oct76627152540
923671207426
108428246368
113635586273
121772729480
13a44194439
1459d5024da
15344ddd2b3
hex1f65cd560

8428246368 has 48 divisors (see below), whose sum is σ = 22145227776. Its totient is φ = 2806738560.

The previous prime is 8428246367. The next prime is 8428246369. The reversal of 8428246368 is 8636428248.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8428246367) and next prime (8428246369).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8428246368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8428246361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60753 + ... + 143343.

It is an arithmetic number, because the mean of its divisors is an integer number (461358912).

Almost surely, 28428246368 is an apocalyptic number.

It is an amenable number.

8428246368 is an abundant number, since it is smaller than the sum of its proper divisors (13716981408).

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

8428246368 is a wasteful number, since it uses less digits than its factorization.

8428246368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83667 (or 83659 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 51.

The square root of 8428246368 is about 91805.4811435570. The cubic root of 8428246368 is about 2035.0686965965.

The spelling of 8428246368 in words is "eight billion, four hundred twenty-eight million, two hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1063 2126 3189 4252 6378 8504 12756 17008 25512 34016 51024 82591 102048 165182 247773 330364 495546 660728 991092 1321456 1982184 2642912 3964368 7928736 87794233 175588466 263382699 351176932 526765398 702353864 1053530796 1404707728 2107061592 2809415456 4214123184 8428246368