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256141652 = 221317833491
BaseRepresentation
bin11110100010001…
…10100101010100
3122211222100021212
433101012211110
51011033013102
641230000552
76230111444
oct1721064524
9584870255
10256141652
11121649018
1271946158
13410b3010
1426038124
1517748c52
hexf446954

256141652 has 48 divisors (see below), whose sum is σ = 517430592. Its totient is φ = 109893120.

The previous prime is 256141643. The next prime is 256141657.

256141652 is nontrivially palindromic in base 10.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256141657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71627 + ... + 75117.

It is an arithmetic number, because the mean of its divisors is an integer number (10779804).

Almost surely, 2256141652 is an apocalyptic number.

It is an amenable number.

256141652 is an abundant number, since it is smaller than the sum of its proper divisors (261288940).

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

256141652 is a wasteful number, since it uses less digits than its factorization.

256141652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3608 (or 3606 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 256141652 is about 16004.4260128253. The cubic root of 256141652 is about 635.0775130128.

The spelling of 256141652 in words is "two hundred fifty-six million, one hundred forty-one thousand, six hundred fifty-two".

Divisors: 1 2 4 13 17 26 34 52 68 83 166 221 332 442 884 1079 1411 2158 2822 3491 4316 5644 6982 13964 18343 36686 45383 59347 73372 90766 118694 181532 237388 289753 579506 771511 1159012 1543022 3086044 3766789 4925801 7533578 9851602 15067156 19703204 64035413 128070826 256141652