Search a number
-
+
4259136 = 26373169
BaseRepresentation
bin10000001111110101000000
322000101102210
4100033311000
52042243021
6231142120
751126210
oct20176500
98011383
104259136
112449a52
121514940
13b617cb
147cc240
15591e76
hex40fd40

4259136 has 56 divisors (see below), whose sum is σ = 12882880. Its totient is φ = 1216512.

The previous prime is 4259131. The next prime is 4259141. The reversal of 4259136 is 6319524.

It is an interprime number because it is at equal distance from previous prime (4259131) and next prime (4259141).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4259131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241 + ... + 2928.

Almost surely, 24259136 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 4259136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441440).

4259136 is an abundant number, since it is smaller than the sum of its proper divisors (8623744).

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

4259136 is a wasteful number, since it uses less digits than its factorization.

4259136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3181 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 4259136 is about 2063.7674287574. The cubic root of 4259136 is about 162.0965740283.

The spelling of 4259136 in words is "four million, two hundred fifty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 3169 6338 9507 12676 19014 22183 25352 38028 44366 50704 66549 76056 88732 101408 133098 152112 177464 202816 266196 304224 354928 532392 608448 709856 1064784 1419712 2129568 4259136