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4266900 = 22325211431
BaseRepresentation
bin10000010001101110010100
322000210002100
4100101232110
52043020100
6231242100
751160641
oct20215624
98023070
104266900
112454870
121519330
13b651c1
147d0dc8
15594400
hex411b94

4266900 has 108 divisors (see below), whose sum is σ = 14624064. Its totient is φ = 1032000.

The previous prime is 4266893. The next prime is 4266907. The reversal of 4266900 is 96624.

It is an interprime number because it is at equal distance from previous prime (4266893) and next prime (4266907).

It is a super-2 number, since 2×42669002 = 36412871220000, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4266907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9685 + ... + 10115.

It is an arithmetic number, because the mean of its divisors is an integer number (135408).

Almost surely, 24266900 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 4266900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312032).

4266900 is an abundant number, since it is smaller than the sum of its proper divisors (10357164).

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

4266900 is a wasteful number, since it uses less digits than its factorization.

4266900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4266900 is about 2065.6475982122. The cubic root of 4266900 is about 162.1950097874.

The spelling of 4266900 in words is "four million, two hundred sixty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 431 450 495 550 660 825 862 900 990 1100 1293 1650 1724 1980 2155 2475 2586 3300 3879 4310 4741 4950 5172 6465 7758 8620 9482 9900 10775 12930 14223 15516 18964 19395 21550 23705 25860 28446 32325 38790 42669 43100 47410 56892 64650 71115 77580 85338 94820 96975 118525 129300 142230 170676 193950 213345 237050 284460 355575 387900 426690 474100 711150 853380 1066725 1422300 2133450 4266900