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257397612 = 223178914177
BaseRepresentation
bin11110101011110…
…01001101101100
3122221100011010220
433111321031230
51011343210422
641312531340
76243562233
oct1725711554
9587304126
10257397612
111223266aa
1272250b50
13414328a4
1426283b1a
15178e5e5c
hexf57936c

257397612 has 48 divisors (see below), whose sum is σ = 643114080. Its totient is φ = 79839232.

The previous prime is 257397611. The next prime is 257397653. The reversal of 257397612 is 216793752.

257397612 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

257397612 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (257397611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11068 + ... + 25244.

It is an arithmetic number, because the mean of its divisors is an integer number (13398210).

Almost surely, 2257397612 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 257397612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321557040).

257397612 is an abundant number, since it is smaller than the sum of its proper divisors (385716468).

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

257397612 is a wasteful number, since it uses less digits than its factorization.

257397612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14290 (or 14288 counting only the distinct ones).

The product of its digits is 158760, while the sum is 42.

The square root of 257397612 is about 16043.6159265921. The cubic root of 257397612 is about 636.1138299481.

The spelling of 257397612 in words is "two hundred fifty-seven million, three hundred ninety-seven thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 89 102 178 204 267 356 534 1068 1513 3026 4539 6052 9078 14177 18156 28354 42531 56708 85062 170124 241009 482018 723027 964036 1261753 1446054 2523506 2892108 3785259 5047012 7570518 15141036 21449801 42899602 64349403 85799204 128698806 257397612