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4006288 = 24111317103
BaseRepresentation
bin1111010010000110010000
321112112121001
433102012100
52011200123
6221511344
746024066
oct17220620
97475531
104006288
112296a90
121412554
13aa36b0
14764036
155420ad
hex3d2190

4006288 has 80 divisors (see below), whose sum is σ = 9749376. Its totient is φ = 1566720.

The previous prime is 4006273. The next prime is 4006307. The reversal of 4006288 is 8826004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38845 + ... + 38947.

Almost surely, 24006288 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 4006288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688).

4006288 is an abundant number, since it is smaller than the sum of its proper divisors (5743088).

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

4006288 is a wasteful number, since it uses less digits than its factorization.

4006288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 4006288 is about 2001.5713826891. The cubic root of 4006288 is about 158.8232414637.

The spelling of 4006288 in words is "four million, six thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 13 16 17 22 26 34 44 52 68 88 103 104 136 143 176 187 206 208 221 272 286 374 412 442 572 748 824 884 1133 1144 1339 1496 1648 1751 1768 2266 2288 2431 2678 2992 3502 3536 4532 4862 5356 7004 9064 9724 10712 14008 14729 18128 19261 19448 21424 22763 28016 29458 38522 38896 45526 58916 77044 91052 117832 154088 182104 235664 250393 308176 364208 500786 1001572 2003144 4006288