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4002944 = 27112843
BaseRepresentation
bin1111010001010010000000
321112101000012
433101102000
52011043234
6221444052
746011251
oct17212200
97471005
104002944
112294520
121410628
13aa200a
14762b28
155410ce
hex3d1480

4002944 has 32 divisors (see below), whose sum is σ = 8702640. Its totient is φ = 1818880.

The previous prime is 4002923. The next prime is 4002949. The reversal of 4002944 is 4492004.

It is a happy number.

4002944 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (4002949) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14 + ... + 2829.

Almost surely, 24002944 is an apocalyptic number.

4002944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351320).

4002944 is an abundant number, since it is smaller than the sum of its proper divisors (4699696).

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

4002944 is a wasteful number, since it uses less digits than its factorization.

4002944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868 (or 2856 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 4002944 is about 2000.7358646258. The cubic root of 4002944 is about 158.7790398855.

Adding to 4002944 its reverse (4492004), we get a palindrome (8494948).

The spelling of 4002944 in words is "four million, two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2843 5686 11372 22744 31273 45488 62546 90976 125092 181952 250184 363904 500368 1000736 2001472 4002944