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4006912 = 21071343
BaseRepresentation
bin1111010010010000000000
321112120110011
433102100000
52011210122
6221514304
746025650
oct17222000
97476404
104006912
1122974a8
121412994
13aa3a70
14764360
15542377
hex3d2400

4006912 has 88 divisors (see below), whose sum is σ = 10087616. Its totient is φ = 1548288.

The previous prime is 4006879. The next prime is 4006913. The reversal of 4006912 is 2196004.

It is not an unprimeable number, because it can be changed into a prime (4006913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93163 + ... + 93205.

It is an arithmetic number, because the mean of its divisors is an integer number (114632).

Almost surely, 24006912 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 4006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043808).

4006912 is an abundant number, since it is smaller than the sum of its proper divisors (6080704).

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

4006912 is a wasteful number, since it uses less digits than its factorization.

4006912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 4006912 is about 2001.7272541483. The cubic root of 4006912 is about 158.8314868818.

The spelling of 4006912 in words is "four million, six thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 43 52 56 64 86 91 104 112 128 172 182 208 224 256 301 344 364 416 448 512 559 602 688 728 832 896 1024 1118 1204 1376 1456 1664 1792 2236 2408 2752 2912 3328 3584 3913 4472 4816 5504 5824 6656 7168 7826 8944 9632 11008 11648 13312 15652 17888 19264 22016 23296 31304 35776 38528 44032 46592 62608 71552 77056 93184 125216 143104 154112 250432 286208 308224 500864 572416 1001728 2003456 4006912