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257226996 = 223136127031
BaseRepresentation
bin11110101010011…
…11100011110100
3122221000111002210
433111033203310
51011322230441
641305133420
76242251635
oct1725174364
9587014083
10257226996
1112221a4a4
127218a270
13413a3030
142623b88c
15178b0616
hexf54f8f4

257226996 has 48 divisors (see below), whose sum is σ = 656985728. Its totient is φ = 77846400.

The previous prime is 257226979. The next prime is 257227001. The reversal of 257226996 is 699622752.

It is a happy number.

257226996 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 4000 + ... + 23031.

Almost surely, 2257226996 is an apocalyptic number.

257226996 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

257226996 is an abundant number, since it is smaller than the sum of its proper divisors (399758732).

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

257226996 is a wasteful number, since it uses less digits than its factorization.

257226996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27112 (or 27110 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 257226996 is about 16038.2977899776. The cubic root of 257226996 is about 635.9732495374.

The spelling of 257226996 in words is "two hundred fifty-seven million, two hundred twenty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 366 732 793 1586 2379 3172 4758 9516 27031 54062 81093 108124 162186 324372 351403 702806 1054209 1405612 1648891 2108418 3297782 4216836 4946673 6595564 9893346 19786692 21435583 42871166 64306749 85742332 128613498 257226996