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257004150 = 235213131797
BaseRepresentation
bin11110101000110…
…01001001110110
3122220121011102020
433110121021312
51011243113100
641300254010
76240333144
oct1724311166
9586534366
10257004150
11122088027
12720a1306
1341325780
14261c0594
15178695a0
hexf519276

257004150 has 48 divisors (see below), whose sum is σ = 686403984. Its totient is φ = 63262080.

The previous prime is 257004103. The next prime is 257004157. The reversal of 257004150 is 51400752.

It is a super-2 number, since 2×2570041502 = 132102266234445000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 257004150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257004157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63949 + ... + 67848.

It is an arithmetic number, because the mean of its divisors is an integer number (14300083).

Almost surely, 2257004150 is an apocalyptic number.

257004150 is an abundant number, since it is smaller than the sum of its proper divisors (429399834).

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

257004150 is a wasteful number, since it uses less digits than its factorization.

257004150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131825 (or 131820 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 257004150 is about 16031.3489763026. The cubic root of 257004150 is about 635.7895401501.

The spelling of 257004150 in words is "two hundred fifty-seven million, four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 195 325 390 650 975 1950 131797 263594 395391 658985 790782 1317970 1713361 1976955 3294925 3426722 3953910 5140083 6589850 8566805 9884775 10280166 17133610 19769550 25700415 42834025 51400830 85668050 128502075 257004150