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4002996 = 2231997181
BaseRepresentation
bin1111010001010010110100
321112101002010
433101102310
52011043441
6221444220
746011354
oct17212264
97471063
104002996
112294568
121410670
13aa204a
14762b64
15541116
hex3d14b4

4002996 has 48 divisors (see below), whose sum is σ = 9988160. Its totient is φ = 1244160.

The previous prime is 4002991. The next prime is 4002997. The reversal of 4002996 is 6992004.

4002996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002991) 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 15 ways as a sum of consecutive naturals, for example, 22026 + ... + 22206.

Almost surely, 24002996 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 4002996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4994080).

4002996 is an abundant number, since it is smaller than the sum of its proper divisors (5985164).

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

4002996 is a wasteful number, since it uses less digits than its factorization.

4002996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 4002996 is about 2000.7488598022. The cubic root of 4002996 is about 158.7797274190.

The spelling of 4002996 in words is "four million, two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 97 114 181 194 228 291 362 388 543 582 724 1086 1164 1843 2172 3439 3686 5529 6878 7372 10317 11058 13756 17557 20634 22116 35114 41268 52671 70228 105342 210684 333583 667166 1000749 1334332 2001498 4002996