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3900064 = 25723757
BaseRepresentation
bin1110111000001010100000
321100010212211
432320022200
51444300224
6215331504
745102310
oct16701240
97303784
103900064
1122241a3
121380b94
13a6723c
14737440
15520894
hex3b82a0

3900064 has 48 divisors (see below), whose sum is σ = 9168768. Its totient is φ = 1596672.

The previous prime is 3899989. The next prime is 3900067. The reversal of 3900064 is 4600093.

It is not an unprimeable number, because it can be changed into a prime (3900067) 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, 4774 + ... + 5530.

It is an arithmetic number, because the mean of its divisors is an integer number (191016).

Almost surely, 23900064 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 3900064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584384).

3900064 is an abundant number, since it is smaller than the sum of its proper divisors (5268704).

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

3900064 is a wasteful number, since it uses less digits than its factorization.

3900064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 3900064 is about 1974.8579695765. The cubic root of 3900064 is about 157.4069526832.

The spelling of 3900064 in words is "three million, nine hundred thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 757 1288 1514 2576 3028 5152 5299 6056 10598 12112 17411 21196 24224 34822 42392 69644 84784 121877 139288 169568 243754 278576 487508 557152 975016 1950032 3900064