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4268394 = 23213172937
BaseRepresentation
bin10000010010000101101010
322000212010200
4100102011222
52043042034
6231253030
751165204
oct20220552
98025120
104268394
1124559a9
12151a176
13b65aa0
147d1774
15594a99
hex41216a

4268394 has 96 divisors (see below), whose sum is σ = 11203920. Its totient is φ = 1161216.

The previous prime is 4268339. The next prime is 4268401. The reversal of 4268394 is 4938624.

It is a happy number.

4268394 is a `hidden beast` number, since 4 + 268 + 394 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2934369 + 1334025 = 1713^2 + 1155^2 .

It is a super-3 number, since 3×42683943 (a number of 21 digits) contains 333 as substring.

It is a d-powerful number, because it can be written as 48 + 25 + 65 + 8 + 36 + 9 + 411 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115344 + ... + 115380.

Almost surely, 24268394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4268394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601960).

4268394 is an abundant number, since it is smaller than the sum of its proper divisors (6935526).

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

4268394 is a wasteful number, since it uses less digits than its factorization.

4268394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 101 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4268394 is about 2066.0091964945. The cubic root of 4268394 is about 162.2139377420.

The spelling of 4268394 in words is "four million, two hundred sixty-eight thousand, three hundred ninety-four".

Divisors: 1 2 3 6 9 13 17 18 26 29 34 37 39 51 58 74 78 87 102 111 117 153 174 221 222 234 261 306 333 377 442 481 493 522 629 663 666 754 962 986 1073 1131 1258 1326 1443 1479 1887 1989 2146 2262 2886 2958 3219 3393 3774 3978 4329 4437 5661 6409 6438 6786 8177 8658 8874 9657 11322 12818 13949 16354 18241 19227 19314 24531 27898 36482 38454 41847 49062 54723 57681 73593 83694 109446 115362 125541 147186 164169 237133 251082 328338 474266 711399 1422798 2134197 4268394