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257075994 = 23731474201
BaseRepresentation
bin11110101001010…
…10101100011010
3122220201210222010
433110222230122
51011302412434
641302010350
76241052460
oct1724525432
9586653863
10257075994
11122126aaa
12721169b6
134134c396
14261dc830
15178809e9
hexf52ab1a

257075994 has 64 divisors (see below), whose sum is σ = 619610112. Its totient is φ = 69552000.

The previous prime is 257075971. The next prime is 257075999. The reversal of 257075994 is 499570752.

It is not an unprimeable number, because it can be changed into a prime (257075999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59094 + ... + 63294.

It is an arithmetic number, because the mean of its divisors is an integer number (9681408).

Almost surely, 2257075994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257075994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309805056).

257075994 is an abundant number, since it is smaller than the sum of its proper divisors (362534118).

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

257075994 is a wasteful number, since it uses less digits than its factorization.

257075994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291.

The product of its (nonzero) digits is 793800, while the sum is 48.

The square root of 257075994 is about 16033.5895544323. The cubic root of 257075994 is about 635.8487783739.

The spelling of 257075994 in words is "two hundred fifty-seven million, seventy-five thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 31 42 47 62 93 94 141 186 217 282 329 434 651 658 987 1302 1457 1974 2914 4201 4371 8402 8742 10199 12603 20398 25206 29407 30597 58814 61194 88221 130231 176442 197447 260462 390693 394894 592341 781386 911617 1184682 1382129 1823234 2734851 2764258 4146387 5469702 6120857 8292774 12241714 18362571 36725142 42845999 85691998 128537997 257075994