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257158890 = 23252857321
BaseRepresentation
bin11110101001111…
…10111011101010
3122220220000200100
433110332323222
51011313041030
641303450230
76241546242
oct1724767352
9586800610
10257158890
1112218330a
1272156976
134137b031
1426220b22
151789a360
hexf53eeea

257158890 has 24 divisors (see below), whose sum is σ = 668613348. Its totient is φ = 68575680.

The previous prime is 257158879. The next prime is 257158897. The reversal of 257158890 is 98851752.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 246835521 + 10323369 = 15711^2 + 3213^2 .

It is a super-2 number, since 2×2571588902 = 132261389412064200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (257158897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1428571 + ... + 1428750.

Almost surely, 2257158890 is an apocalyptic number.

257158890 is an abundant number, since it is smaller than the sum of its proper divisors (411454458).

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

257158890 is a wasteful number, since it uses less digits than its factorization.

257158890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857334 (or 2857331 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 257158890 is about 16036.1744191063. The cubic root of 257158890 is about 635.9171156970.

The spelling of 257158890 in words is "two hundred fifty-seven million, one hundred fifty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2857321 5714642 8571963 14286605 17143926 25715889 28573210 42859815 51431778 85719630 128579445 257158890