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4072146 = 2313173783
BaseRepresentation
bin1111100010001011010010
321122212221020
433202023102
52020302041
6223140310
746420101
oct17421322
97585836
104072146
112331511
121444696
13ac7670
14780038
15556866
hex3e22d2

4072146 has 64 divisors (see below), whose sum is σ = 9652608. Its totient is φ = 1133568.

The previous prime is 4072139. The next prime is 4072147. The reversal of 4072146 is 6412704.

4072146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4072147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49021 + ... + 49103.

It is an arithmetic number, because the mean of its divisors is an integer number (150822).

Almost surely, 24072146 is an apocalyptic number.

4072146 is the 1079-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4072146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826304).

4072146 is an abundant number, since it is smaller than the sum of its proper divisors (5580462).

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

4072146 is a wasteful number, since it uses less digits than its factorization.

4072146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4072146 is about 2017.9558964457. The cubic root of 4072146 is about 159.6887961351.

The spelling of 4072146 in words is "four million, seventy-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 13 17 26 34 37 39 51 74 78 83 102 111 166 221 222 249 442 481 498 629 663 962 1079 1258 1326 1411 1443 1887 2158 2822 2886 3071 3237 3774 4233 6142 6474 8177 8466 9213 16354 18343 18426 24531 36686 39923 49062 52207 55029 79846 104414 110058 119769 156621 239538 313242 678691 1357382 2036073 4072146