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3993156 = 2232110921
BaseRepresentation
bin1111001110111001000100
321111212120200
433032321010
52010240111
6221330500
745640566
oct17167104
97455520
103993156
112288132
121406a30
13a9a71b
1475d336
1553d256
hex3cee44

3993156 has 18 divisors (see below), whose sum is σ = 10093902. Its totient is φ = 1331040.

The previous prime is 3993127. The next prime is 3993161. The reversal of 3993156 is 6513993.

It can be written as a sum of positive squares in only one way, i.e., 2005056 + 1988100 = 1416^2 + 1410^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 110921 = 3993156 / (3 + 9 + 9 + 3 + 1 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 3993156.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55425 + ... + 55496.

Almost surely, 23993156 is an apocalyptic number.

3993156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3993156 is an abundant number, since it is smaller than the sum of its proper divisors (6100746).

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

3993156 is a wasteful number, since it uses less digits than its factorization.

3993156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110931 (or 110926 counting only the distinct ones).

The product of its digits is 21870, while the sum is 36.

The square root of 3993156 is about 1998.2882674930. The cubic root of 3993156 is about 158.6495187394.

The spelling of 3993156 in words is "three million, nine hundred ninety-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 110921 221842 332763 443684 665526 998289 1331052 1996578 3993156