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8234638460 = 225439798713
BaseRepresentation
bin1111010101101001…
…01001110001111100
3210020212220222100122
413222310221301330
5113331031412320
63441040514112
7411030162206
oct75264516174
923225828318
108234638460
113546269834
12171991b938
13a13037749
14581905776
15332de7d25
hex1ead29c7c

8234638460 has 48 divisors (see below), whose sum is σ = 17877500256. Its totient is φ = 3184054272.

The previous prime is 8234638441. The next prime is 8234638463. The reversal of 8234638460 is 648364328.

It is a super-2 number, since 2×82346384602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8234638463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34064 + ... + 132776.

It is an arithmetic number, because the mean of its divisors is an integer number (372447922).

Almost surely, 28234638460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8234638460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8938750128).

8234638460 is an abundant number, since it is smaller than the sum of its proper divisors (9642861796).

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

8234638460 is a wasteful number, since it uses less digits than its factorization.

8234638460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98862 (or 98860 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The square root of 8234638460 is about 90744.9087277077. The cubic root of 8234638460 is about 2019.3650963512.

The spelling of 8234638460 in words is "eight billion, two hundred thirty-four million, six hundred thirty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 43 86 97 172 194 215 388 430 485 860 970 1940 4171 8342 16684 20855 41710 83420 98713 197426 394852 493565 987130 1974260 4244659 8489318 9575161 16978636 19150322 21223295 38300644 42446590 47875805 84893180 95751610 191503220 411731923 823463846 1646927692 2058659615 4117319230 8234638460