Search a number
-
+
257859042 = 2378097589
BaseRepresentation
bin11110101111010…
…01110111100010
3122222012121002220
433113221313202
51012002442132
641330451510
76250523430
oct1727516742
9588177086
10257859042
11122611351
1272433b96
134156491c
1426363d50
1517987a2c
hexf5e9de2

257859042 has 32 divisors (see below), whose sum is σ = 590198400. Its totient is φ = 73573248.

The previous prime is 257858983. The next prime is 257859059. The reversal of 257859042 is 240958752.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 257858985 and 257859003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30184 + ... + 37772.

It is an arithmetic number, because the mean of its divisors is an integer number (18443700).

Almost surely, 2257859042 is an apocalyptic number.

257859042 is an abundant number, since it is smaller than the sum of its proper divisors (332339358).

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

257859042 is a wasteful number, since it uses less digits than its factorization.

257859042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8410.

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 257859042 is about 16057.9899738417. The cubic root of 257859042 is about 636.4937179358.

The spelling of 257859042 in words is "two hundred fifty-seven million, eight hundred fifty-nine thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 809 1618 2427 4854 5663 7589 11326 15178 16989 22767 33978 45534 53123 106246 159369 318738 6139501 12279002 18418503 36837006 42976507 85953014 128929521 257859042