Search a number
-
+
257413482 = 232197110601
BaseRepresentation
bin11110101011111…
…01000101101010
3122221100221220200
433111331011222
51011344212412
641313133030
76243656424
oct1725750552
9587327820
10257413482
11122337617
127225a176
1341439b91
1426289814
15178ea9dc
hexf57d16a

257413482 has 48 divisors (see below), whose sum is σ = 595408320. Its totient is φ = 80136000.

The previous prime is 257413451. The next prime is 257413517. The reversal of 257413482 is 284314752.

It is a happy number.

257413482 is a `hidden beast` number, since 2 + 574 + 1 + 3 + 4 + 82 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18982 + ... + 29582.

It is an arithmetic number, because the mean of its divisors is an integer number (12404340).

Almost surely, 2257413482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257413482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297704160).

257413482 is an abundant number, since it is smaller than the sum of its proper divisors (337994838).

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

257413482 is a wasteful number, since it uses less digits than its factorization.

257413482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10699 (or 10696 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 257413482 is about 16044.1105082208. The cubic root of 257413482 is about 636.1269030026.

The spelling of 257413482 in words is "two hundred fifty-seven million, four hundred thirteen thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 38 57 71 114 142 171 213 342 426 639 1278 1349 2698 4047 8094 10601 12141 21202 24282 31803 63606 95409 190818 201419 402838 604257 752671 1208514 1505342 1812771 2258013 3625542 4516026 6774039 13548078 14300749 28601498 42902247 85804494 128706741 257413482