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3976938 = 23572167
BaseRepresentation
bin1111001010111011101010
321111001100000
433022323222
52004230223
6221123430
745542400
oct17127352
97431300
103976938
112276a29
1213b9576
13a93224
14757470
15538543
hex3caeea

3976938 has 72 divisors (see below), whose sum is σ = 10456992. Its totient is φ = 1129464.

The previous prime is 3976927. The next prime is 3976943. The reversal of 3976938 is 8396793.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3976893 and 3976902.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23731 + ... + 23897.

It is an arithmetic number, because the mean of its divisors is an integer number (145236).

Almost surely, 23976938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3976938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228496).

3976938 is an abundant number, since it is smaller than the sum of its proper divisors (6480054).

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

3976938 is a wasteful number, since it uses less digits than its factorization.

3976938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 179 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 3976938 is about 1994.2261657094. The cubic root of 3976938 is about 158.4344449885.

The spelling of 3976938 in words is "three million, nine hundred seventy-six thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 167 189 243 294 334 378 441 486 501 567 882 1002 1134 1169 1323 1503 1701 2338 2646 3006 3402 3507 3969 4509 7014 7938 8183 9018 10521 11907 13527 16366 21042 23814 24549 27054 31563 40581 49098 63126 73647 81162 94689 147294 189378 220941 284067 441882 568134 662823 1325646 1988469 3976938