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257150380 = 225611311609
BaseRepresentation
bin11110101001111…
…00110110101100
3122220212121000011
433110330312230
51011312303010
641303343004
76241512364
oct1724746654
9586777004
10257150380
11122177983
1272151a64
13413771b6
142621b9a4
1517897a8a
hexf53cdac

257150380 has 48 divisors (see below), whose sum is σ = 553402080. Its totient is φ = 100339200.

The previous prime is 257150359. The next prime is 257150393. The reversal of 257150380 is 83051752.

It is a super-2 number, since 2×2571503802 = 132252635868288800, which contains 22 as substring.

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, 159016 + ... + 160624.

It is an arithmetic number, because the mean of its divisors is an integer number (11529210).

Almost surely, 2257150380 is an apocalyptic number.

257150380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257150380 is an abundant number, since it is smaller than the sum of its proper divisors (296251700).

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

257150380 is a wasteful number, since it uses less digits than its factorization.

257150380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1810 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 257150380 is about 16035.9090793132. The cubic root of 257150380 is about 635.9101009491.

The spelling of 257150380 in words is "two hundred fifty-seven million, one hundred fifty thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 61 122 131 244 262 305 524 610 655 1220 1310 1609 2620 3218 6436 7991 8045 15982 16090 31964 32180 39955 79910 98149 159820 196298 210779 392596 421558 490745 843116 981490 1053895 1962980 2107790 4215580 12857519 25715038 51430076 64287595 128575190 257150380