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4261136 = 241123171
BaseRepresentation
bin10000010000010100010000
322000111011212
4100100110100
52042324021
6231155252
751135065
oct20202420
98014155
104261136
112450500
121515b28
13b626a9
147ccc6c
1559285b
hex410510

4261136 has 60 divisors (see below), whose sum is σ = 9499392. Its totient is φ = 1848000.

The previous prime is 4261129. The next prime is 4261139. The reversal of 4261136 is 6311624.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4261139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59981 + ... + 60051.

Almost surely, 24261136 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 4261136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749696).

4261136 is an abundant number, since it is smaller than the sum of its proper divisors (5238256).

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

4261136 is a wasteful number, since it uses less digits than its factorization.

4261136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 4261136 is about 2064.2519226102. The cubic root of 4261136 is about 162.1219424299.

The spelling of 4261136 in words is "four million, two hundred sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 71 88 121 124 142 176 242 248 284 341 484 496 568 682 781 968 1136 1364 1562 1936 2201 2728 3124 3751 4402 5456 6248 7502 8591 8804 12496 15004 17182 17608 24211 30008 34364 35216 48422 60016 68728 96844 137456 193688 266321 387376 532642 1065284 2130568 4261136