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257452740 = 223251430293
BaseRepresentation
bin11110101100001…
…10101011000100
3122221102221202200
433112012223010
51011401441430
641314034500
76244212036
oct1726065304
9587387680
10257452740
11122364066
1272278a30
13414519cc
1426299c56
1517907460
hexf586ac4

257452740 has 36 divisors (see below), whose sum is σ = 780940524. Its totient is φ = 68654016.

The previous prime is 257452733. The next prime is 257452751. The reversal of 257452740 is 47254752.

It is a happy number.

257452740 is a `hidden beast` number, since 25 + 74 + 527 + 40 = 666.

257452740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 82737216 + 174715524 = 9096^2 + 13218^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 257452695 and 257452704.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 714967 + ... + 715326.

Almost surely, 2257452740 is an apocalyptic number.

257452740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257452740 is an abundant number, since it is smaller than the sum of its proper divisors (523487784).

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

257452740 is a wasteful number, since it uses less digits than its factorization.

257452740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430308 (or 1430303 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 257452740 is about 16045.3339011689. Note that the first 3 decimals coincide. The cubic root of 257452740 is about 636.1592398229.

The spelling of 257452740 in words is "two hundred fifty-seven million, four hundred fifty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1430293 2860586 4290879 5721172 7151465 8581758 12872637 14302930 17163516 21454395 25745274 28605860 42908790 51490548 64363185 85817580 128726370 257452740