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3976944 = 243292857
BaseRepresentation
bin1111001010111011110000
321111001100020
433022323300
52004230234
6221123440
745542406
oct17127360
97431306
103976944
112276a34
1213b9580
13a9322a
14757476
15538549
hex3caef0

3976944 has 40 divisors (see below), whose sum is σ = 10631760. Its totient is φ = 1279488.

The previous prime is 3976943. The next prime is 3976949. The reversal of 3976944 is 4496793.

It is a junction number, because it is equal to n+sod(n) for n = 3976896 and 3976905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3976943) 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 7 ways as a sum of consecutive naturals, for example, 37 + ... + 2820.

It is an arithmetic number, because the mean of its divisors is an integer number (265794).

Almost surely, 23976944 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 3976944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5315880).

3976944 is an abundant number, since it is smaller than the sum of its proper divisors (6654816).

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

3976944 is a wasteful number, since it uses less digits than its factorization.

3976944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2891 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 3976944 is about 1994.2276700517. The cubic root of 3976944 is about 158.4345246651.

The spelling of 3976944 in words is "three million, nine hundred seventy-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 2857 5714 8571 11428 17142 22856 34284 45712 68568 82853 137136 165706 248559 331412 497118 662824 994236 1325648 1988472 3976944