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4266864 = 243371783
BaseRepresentation
bin10000010001101101110000
322000210001000
4100101231300
52043014424
6231242000
751160560
oct20215560
98023030
104266864
112454838
121519300
13b65194
147d0da0
155943c9
hex411b70

4266864 has 160 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 1133568.

The previous prime is 4266859. The next prime is 4266893. The reversal of 4266864 is 4686624.

It is a happy number.

It is a super-4 number, since 4×42668644 (a number of 28 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51367 + ... + 51449.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

Almost surely, 24266864 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 4266864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

4266864 is an abundant number, since it is smaller than the sum of its proper divisors (10732176).

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

4266864 is a wasteful number, since it uses less digits than its factorization.

4266864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4266864 is about 2065.6388842196. The cubic root of 4266864 is about 162.1945536376.

The spelling of 4266864 in words is "four million, two hundred sixty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 83 84 102 108 112 119 126 136 144 153 166 168 189 204 216 238 249 252 272 306 332 336 357 378 408 432 459 476 498 504 581 612 664 714 747 756 816 918 952 996 1008 1071 1162 1224 1328 1411 1428 1494 1512 1743 1836 1904 1992 2142 2241 2324 2448 2822 2856 2988 3024 3213 3486 3672 3984 4233 4284 4482 4648 5229 5644 5712 5976 6426 6972 7344 8466 8568 8964 9296 9877 10458 11288 11952 12699 12852 13944 15687 16932 17136 17928 19754 20916 22576 25398 25704 27888 29631 31374 33864 35856 38097 39508 41832 50796 51408 59262 62748 67728 76194 79016 83664 88893 101592 118524 125496 152388 158032 177786 203184 237048 250992 266679 304776 355572 474096 533358 609552 711144 1066716 1422288 2133432 4266864