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4006044 = 223372757
BaseRepresentation
bin1111010010000010011100
321112112021000
433102002130
52011143134
6221510300
746023300
oct17220234
97475230
104006044
112296889
121412390
13aa3553
14763d00
15541e99
hex3d209c

4006044 has 72 divisors (see below), whose sum is σ = 12097680. Its totient is φ = 1143072.

The previous prime is 4006039. The next prime is 4006063. The reversal of 4006044 is 4406004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4914 + ... + 5670.

Almost surely, 24006044 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 4006044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048840).

4006044 is an abundant number, since it is smaller than the sum of its proper divisors (8091636).

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

4006044 is a wasteful number, since it uses less digits than its factorization.

4006044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4006044 is about 2001.5104296506. The cubic root of 4006044 is about 158.8200170610.

It can be divided in two parts, 40060 and 44, that added together give a palindrome (40104).

The spelling of 4006044 in words is "four million, six thousand, forty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 757 882 1323 1514 1764 2271 2646 3028 4542 5292 5299 6813 9084 10598 13626 15897 20439 21196 27252 31794 37093 40878 47691 63588 74186 81756 95382 111279 143073 148372 190764 222558 286146 333837 445116 572292 667674 1001511 1335348 2003022 4006044