[go: up one dir, main page]

Search a number
-
+
687274144 = 25412512087
BaseRepresentation
bin101000111101101…
…111100010100000
31202220020010212221
4220331233202200
52401420233034
6152110400424
723013506464
oct5075574240
91686203787
10687274144
11322a48267
12172200114
13ac504bbb
14673c44a4
154050bbb4
hex28f6f8a0

687274144 has 48 divisors (see below), whose sum is σ = 1392261696. Its totient is φ = 333760000.

The previous prime is 687274127. The next prime is 687274153. The reversal of 687274144 is 441472786.

687274144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 687274144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 328269 + ... + 330355.

It is an arithmetic number, because the mean of its divisors is an integer number (29005452).

Almost surely, 2687274144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687274144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696130848).

687274144 is an abundant number, since it is smaller than the sum of its proper divisors (704987552).

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

687274144 is a wasteful number, since it uses less digits than its factorization.

687274144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2381 counting only the distinct ones).

The product of its digits is 301056, while the sum is 43.

The square root of 687274144 is about 26215.9139455408. The cubic root of 687274144 is about 882.4904247183.

The spelling of 687274144 in words is "six hundred eighty-seven million, two hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 82 164 251 328 502 656 1004 1312 2008 2087 4016 4174 8032 8348 10291 16696 20582 33392 41164 66784 82328 85567 164656 171134 329312 342268 523837 684536 1047674 1369072 2095348 2738144 4190696 8381392 16762784 21477317 42954634 85909268 171818536 343637072 687274144