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687506872 = 231321034937
BaseRepresentation
bin101000111110101…
…000010110111000
31202220122222010111
4220332220112320
52402000204442
6152115354104
723015466133
oct5076502670
91686588114
10687506872
113230970a8
121722b2934
13ac586b00
146744521a
1540555b17
hex28fa85b8

687506872 has 48 divisors (see below), whose sum is σ = 1409700240. Its totient is φ = 314166528.

The previous prime is 687506861. The next prime is 687506873. The reversal of 687506872 is 278605786.

687506872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687506873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136788 + ... + 141724.

It is an arithmetic number, because the mean of its divisors is an integer number (29368755).

Almost surely, 2687506872 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 687506872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704850120).

687506872 is an abundant number, since it is smaller than the sum of its proper divisors (722193368).

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

687506872 is a wasteful number, since it uses less digits than its factorization.

687506872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5072 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

The square root of 687506872 is about 26220.3522478246. The cubic root of 687506872 is about 882.5900244949.

The spelling of 687506872 in words is "six hundred eighty-seven million, five hundred six thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 103 104 169 206 338 412 676 824 1339 1352 2678 4937 5356 9874 10712 17407 19748 34814 39496 64181 69628 128362 139256 256724 508511 513448 834353 1017022 1668706 2034044 3337412 4068088 6610643 6674824 13221286 26442572 52885144 85938359 171876718 343753436 687506872