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3973696 = 26292141
BaseRepresentation
bin1111001010001001000000
321110212212221
433022021000
52004124241
6221100424
745530056
oct17121100
97425787
103973696
112274551
1213b7714
13a918cc
147561d6
155375d1
hex3ca240

3973696 has 28 divisors (see below), whose sum is σ = 8161020. Its totient is φ = 1917440.

The previous prime is 3973691. The next prime is 3973727. The reversal of 3973696 is 6963793.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3097600 + 876096 = 1760^2 + 936^2 .

It is not an unprimeable number, because it can be changed into a prime (3973691) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 786 + ... + 2926.

It is an arithmetic number, because the mean of its divisors is an integer number (291465).

Almost surely, 23973696 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 3973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080510).

3973696 is an abundant number, since it is smaller than the sum of its proper divisors (4187324).

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

3973696 is a wasteful number, since it uses less digits than its factorization.

3973696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 2172 counting only the distinct ones).

The product of its digits is 183708, while the sum is 43.

The square root of 3973696 is about 1993.4131533628. The cubic root of 3973696 is about 158.3913813628.

The spelling of 3973696 in words is "three million, nine hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 2141 4282 8564 17128 34256 62089 68512 124178 137024 248356 496712 993424 1986848 3973696