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3895681248 = 253213526671
BaseRepresentation
bin1110100000110011…
…0110000011100000
3101001111102010000200
43220030312003200
530434243244443
61442321545200
7165352513164
oct35014660340
911044363020
103895681248
11171a012a88
129087a5200
134a1128244
1428d55aca4
1517c01add3
hexe83360e0

3895681248 has 36 divisors (see below), whose sum is σ = 11078344368. Its totient is φ = 1298560320.

The previous prime is 3895681241. The next prime is 3895681249. The reversal of 3895681248 is 8421865983.

3895681248 is a `hidden beast` number, since 38 + 9 + 568 + 1 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 3895681194 and 3895681203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3895681241) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 6763048 + ... + 6763623.

It is an arithmetic number, because the mean of its divisors is an integer number (307731788).

Almost surely, 23895681248 is an apocalyptic number.

It is an amenable number.

3895681248 is an abundant number, since it is smaller than the sum of its proper divisors (7182663120).

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

3895681248 is a wasteful number, since it uses less digits than its factorization.

3895681248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13526687 (or 13526676 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 3895681248 is about 62415.3927168611. The cubic root of 3895681248 is about 1573.4796782063.

The spelling of 3895681248 in words is "three billion, eight hundred ninety-five million, six hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 13526671 27053342 40580013 54106684 81160026 108213368 121740039 162320052 216426736 243480078 324640104 432853472 486960156 649280208 973920312 1298560416 1947840624 3895681248