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256436442 = 2355031049
BaseRepresentation
bin11110100100011…
…10100011011010
3122212112022200000
433102032203122
51011121431232
641240153430
76232450053
oct1722164332
9585468600
10256436442
1112182a549
1271a68876
1341187252
14260b372a
15177a627c
hexf48e8da

256436442 has 48 divisors (see below), whose sum is σ = 577886400. Its totient is φ = 85227552.

The previous prime is 256436441. The next prime is 256436447. The reversal of 256436442 is 244634652.

256436442 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 3 + 644 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 256436397 and 256436406.

It is not an unprimeable number, because it can be changed into a prime (256436441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243934 + ... + 244982.

It is an arithmetic number, because the mean of its divisors is an integer number (12039300).

Almost surely, 2256436442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256436442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288943200).

256436442 is an abundant number, since it is smaller than the sum of its proper divisors (321449958).

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

256436442 is a wasteful number, since it uses less digits than its factorization.

256436442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1557 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 256436442 is about 16013.6330044122. The cubic root of 256436442 is about 635.3210536782.

The spelling of 256436442 in words is "two hundred fifty-six million, four hundred thirty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 503 1006 1049 1509 2098 3018 3147 4527 6294 9054 9441 13581 18882 27162 28323 40743 56646 81486 84969 122229 169938 244458 254907 509814 527647 1055294 1582941 3165882 4748823 9497646 14246469 28492938 42739407 85478814 128218221 256436442