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257987796 = 223119720149
BaseRepresentation
bin11110110000010…
…01010011010100
3122222110010201120
433120021103110
51012021102141
641333323540
76251601003
oct1730112324
9588403646
10257987796
1112269a060
12724965b0
13415ab401
1426398c3a
15179b0c66
hexf6094d4

257987796 has 48 divisors (see below), whose sum is σ = 663499200. Its totient is φ = 77368320.

The previous prime is 257987783. The next prime is 257987827. The reversal of 257987796 is 697789752.

It is a congruent number.

It is an unprimeable number.

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, 2730 + ... + 22878.

It is an arithmetic number, because the mean of its divisors is an integer number (13822900).

Almost surely, 2257987796 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 257987796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331749600).

257987796 is an abundant number, since it is smaller than the sum of its proper divisors (405511404).

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

257987796 is a wasteful number, since it uses less digits than its factorization.

257987796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20264 (or 20262 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 60.

The square root of 257987796 is about 16061.9985057900. The cubic root of 257987796 is about 636.5996381774.

The spelling of 257987796 in words is "two hundred fifty-seven million, nine hundred eighty-seven thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 291 388 582 1067 1164 2134 3201 4268 6402 12804 20149 40298 60447 80596 120894 221639 241788 443278 664917 886556 1329834 1954453 2659668 3908906 5863359 7817812 11726718 21498983 23453436 42997966 64496949 85995932 128993898 257987796