Search a number
-
+
42676256 = 2572171601
BaseRepresentation
bin1010001011001…
…1000000100000
32222022011211002
42202303000200
541411120011
64122411132
71025512400
oct242630040
988264732
1042676256
11220a9337
1212360aa8
138ac2a2c
14594c800
153b2ec3b
hex28b3020

42676256 has 72 divisors (see below), whose sum is σ = 103550076. Its totient is φ = 17203200.

The previous prime is 42676241. The next prime is 42676259. The reversal of 42676256 is 65267624.

It can be written as a sum of positive squares in 2 ways, for example, as 32307856 + 10368400 = 5684^2 + 3220^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42676259) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25856 + ... + 27456.

Almost surely, 242676256 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 42676256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51775038).

42676256 is an abundant number, since it is smaller than the sum of its proper divisors (60873820).

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

42676256 is a wasteful number, since it uses less digits than its factorization.

42676256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1627 counting only the distinct ones).

The product of its digits is 120960, while the sum is 38.

The square root of 42676256 is about 6532.7066366094. The cubic root of 42676256 is about 349.4583622282.

The spelling of 42676256 in words is "forty-two million, six hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 68 98 112 119 136 196 224 238 272 392 476 544 784 833 952 1568 1601 1666 1904 3202 3332 3808 6404 6664 11207 12808 13328 22414 25616 26656 27217 44828 51232 54434 78449 89656 108868 156898 179312 190519 217736 313796 358624 381038 435472 627592 762076 870944 1255184 1333633 1524152 2510368 2667266 3048304 5334532 6096608 10669064 21338128 42676256