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3975576 = 233112372
BaseRepresentation
bin1111001010100110011000
321110222110120
433022212120
52004204301
6221113240
745535413
oct17124630
97428416
103975576
112275a00
1213b8820
13a92717
14756b7a
15537e36
hex3ca998

3975576 has 72 divisors (see below), whose sum is σ = 11227860. Its totient is φ = 1172160.

The previous prime is 3975547. The next prime is 3975577. The reversal of 3975576 is 6755793.

3975576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (198450) is a multiple of the sum of its prime factors (105).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3975577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 107430 + ... + 107466.

Almost surely, 23975576 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 3975576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613930).

3975576 is an abundant number, since it is smaller than the sum of its proper divisors (7252284).

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

3975576 is a wasteful number, since it uses less digits than its factorization.

3975576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 53 counting only the distinct ones).

The product of its digits is 198450, while the sum is 42.

The square root of 3975576 is about 1993.8846506255. The cubic root of 3975576 is about 158.4163563357.

Subtracting from 3975576 its product of digits (198450), we obtain a triangular number (3777126 = T2748).

It can be divided in two parts, 3 and 975576, that added together give a palindrome (975579).

The spelling of 3975576 in words is "three million, nine hundred seventy-five thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 121 132 148 222 242 264 296 363 407 444 484 726 814 888 968 1221 1369 1452 1628 2442 2738 2904 3256 4107 4477 4884 5476 8214 8954 9768 10952 13431 15059 16428 17908 26862 30118 32856 35816 45177 53724 60236 90354 107448 120472 165649 180708 331298 361416 496947 662596 993894 1325192 1987788 3975576