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3885008000 = 2753242813
BaseRepresentation
bin1110011110010000…
…1000010010000000
3101000202022212002012
43213210020102000
530424030224000
61441301112052
7165163010636
oct34744102200
911022285065
103885008000
111713a93015
129050b8628
1349bb5c103
1428bd7d356
1517b10d735
hexe7908480

3885008000 has 64 divisors (see below), whose sum is σ = 9659140920. Its totient is φ = 1553996800.

The previous prime is 3885007999. The next prime is 3885008003. The reversal of 3885008000 is 8005883.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 243609664 + 3641398336 = 15608^2 + 60344^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3885008003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105407 + ... + 137406.

Almost surely, 23885008000 is an apocalyptic number.

It is an amenable number.

3885008000 is an abundant number, since it is smaller than the sum of its proper divisors (5774132920).

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

3885008000 is an equidigital number, since it uses as much as digits as its factorization.

3885008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242842 (or 242820 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 3885008000 is about 62329.8323437501. The cubic root of 3885008000 is about 1572.0413761077.

The spelling of 3885008000 in words is "three billion, eight hundred eighty-five million, eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 242813 485626 971252 1214065 1942504 2428130 3885008 4856260 6070325 7770016 9712520 12140650 15540032 19425040 24281300 30351625 31080064 38850080 48562600 60703250 77700160 97125200 121406500 155400320 194250400 242813000 388500800 485626000 777001600 971252000 1942504000 3885008000