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3973896 = 233297569
BaseRepresentation
bin1111001010001100001000
321110220011100
433022030020
52004131041
6221101400
745530463
oct17121410
97426140
103973896
112274713
1213b7860
13a91a24
147562da
155376b6
hex3ca308

3973896 has 48 divisors (see below), whose sum is σ = 10892700. Its totient is φ = 1308672.

The previous prime is 3973877. The next prime is 3973919. The reversal of 3973896 is 6983793.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3802500 + 171396 = 1950^2 + 414^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6700 + ... + 7268.

Almost surely, 23973896 is an apocalyptic number.

3973896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3973896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446350).

3973896 is an abundant number, since it is smaller than the sum of its proper divisors (6918804).

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

3973896 is a wasteful number, since it uses less digits than its factorization.

3973896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 671 counting only the distinct ones).

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

The square root of 3973896 is about 1993.4633179469. The cubic root of 3973896 is about 158.3940386492.

The spelling of 3973896 in words is "three million, nine hundred seventy-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 569 582 776 873 1138 1164 1707 1746 2276 2328 3414 3492 4552 5121 6828 6984 10242 13656 20484 40968 55193 110386 165579 220772 331158 441544 496737 662316 993474 1324632 1986948 3973896