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257530050 = 23352190763
BaseRepresentation
bin11110101100110…
…01100011000010
3122221120212211000
433112121203002
51011411430200
641315432430
76244653321
oct1726314302
9587525730
10257530050
11122407158
12722b5716
134147ac5b
14262ba0b8
1517920300
hexf5998c2

257530050 has 48 divisors (see below), whose sum is σ = 709642080. Its totient is φ = 68674320.

The previous prime is 257530043. The next prime is 257530067. The reversal of 257530050 is 50035752.

257530050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 257529996 and 257530023.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94032 + ... + 96731.

It is an arithmetic number, because the mean of its divisors is an integer number (14784210).

Almost surely, 2257530050 is an apocalyptic number.

257530050 is an abundant number, since it is smaller than the sum of its proper divisors (452112030).

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

257530050 is a wasteful number, since it uses less digits than its factorization.

257530050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190784 (or 190773 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 257530050 is about 16047.7428319375. The cubic root of 257530050 is about 636.2229104714. Note that the first 3 decimals are identical.

The spelling of 257530050 in words is "two hundred fifty-seven million, five hundred thirty thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 190763 381526 572289 953815 1144578 1716867 1907630 2861445 3433734 4769075 5150601 5722890 8584335 9538150 10301202 14307225 17168670 25753005 28614450 42921675 51506010 85843350 128765025 257530050