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3993606 = 2321731421
BaseRepresentation
bin1111001111000000000110
321111220012100
433033000012
52010243411
6221332530
745642111
oct17170006
97456170
103993606
112288501
121407146
13a9a9a6
1475d578
1553d456
hex3cf006

3993606 has 48 divisors (see below), whose sum is σ = 9479808. Its totient is φ = 1209600.

The previous prime is 3993601. The next prime is 3993617. The reversal of 3993606 is 6063993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3993601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9276 + ... + 9696.

It is an arithmetic number, because the mean of its divisors is an integer number (197496).

Almost surely, 23993606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3993606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4739904).

3993606 is an abundant number, since it is smaller than the sum of its proper divisors (5486202).

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

3993606 is a wasteful number, since it uses less digits than its factorization.

3993606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 3993606 is about 1998.4008606884. The cubic root of 3993606 is about 158.6554780692.

It can be divided in two parts, 399 and 3606, that added together give a triangular number (4005 = T89).

The spelling of 3993606 in words is "three million, nine hundred ninety-three thousand, six hundred six".

Divisors: 1 2 3 6 9 17 18 31 34 51 62 93 102 153 186 279 306 421 527 558 842 1054 1263 1581 2526 3162 3789 4743 7157 7578 9486 13051 14314 21471 26102 39153 42942 64413 78306 117459 128826 221867 234918 443734 665601 1331202 1996803 3993606