Search a number
-
+
4003938 = 233531399
BaseRepresentation
bin1111010001100001100010
321112102101000
433101201202
52011111223
6221452430
746014201
oct17214142
97472330
104003938
112295244
121411116
13aa25c3
14763238
15541543
hex3d1862

4003938 has 32 divisors (see below), whose sum is σ = 9072000. Its totient is φ = 1308528.

The previous prime is 4003913. The next prime is 4003939. The reversal of 4003938 is 8393004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4003939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2163 + ... + 3561.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 24003938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4003938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536000).

4003938 is an abundant number, since it is smaller than the sum of its proper divisors (5068062).

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

4003938 is a wasteful number, since it uses less digits than its factorization.

4003938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4003938 is about 2000.9842578091. The cubic root of 4003938 is about 158.7921813221.

The spelling of 4003938 in words is "four million, three thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1399 1431 2798 2862 4197 8394 12591 25182 37773 74147 75546 148294 222441 444882 667323 1334646 2001969 4003938