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3975136 = 251123491
BaseRepresentation
bin1111001010011111100000
321110221212021
433022133200
52004201021
6221111224
745534214
oct17123740
97427767
103975136
112275640
1213b8514
13a92469
14756944
15537c41
hex3ca7e0

3975136 has 48 divisors (see below), whose sum is σ = 8926848. Its totient is φ = 1724800.

The previous prime is 3975109. The next prime is 3975151. The reversal of 3975136 is 6315793.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7851 + ... + 8341.

It is an arithmetic number, because the mean of its divisors is an integer number (185976).

Almost surely, 23975136 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 3975136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463424).

3975136 is an abundant number, since it is smaller than the sum of its proper divisors (4951712).

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

3975136 is a wasteful number, since it uses less digits than its factorization.

3975136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 527 counting only the distinct ones).

The product of its digits is 17010, while the sum is 34.

The square root of 3975136 is about 1993.7743101966. The cubic root of 3975136 is about 158.4105118351.

The spelling of 3975136 in words is "three million, nine hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 491 506 736 982 1012 1964 2024 3928 4048 5401 7856 8096 10802 11293 15712 21604 22586 43208 45172 86416 90344 124223 172832 180688 248446 361376 496892 993784 1987568 3975136