Search a number
-
+
687098944 = 2674213643
BaseRepresentation
bin101000111101000…
…100110001000000
31202212220020120001
4220331010301000
52401344131234
6152102525344
723012146630
oct5075046100
91685806501
10687098944
11322938674
12172136854
13ac47322c
146737a6c0
15404c4d14
hex28f44c40

687098944 has 56 divisors (see below), whose sum is σ = 1562372288. Its totient is φ = 293690880.

The previous prime is 687098933. The next prime is 687098963. The reversal of 687098944 is 449890786.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 186787 + ... + 190429.

Almost surely, 2687098944 is an apocalyptic number.

687098944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687098944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781186144).

687098944 is an abundant number, since it is smaller than the sum of its proper divisors (875273344).

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

687098944 is a wasteful number, since it uses less digits than its factorization.

687098944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4083 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The square root of 687098944 is about 26212.5722507350. The cubic root of 687098944 is about 882.4154301602.

The spelling of 687098944 in words is "six hundred eighty-seven million, ninety-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 421 448 842 1684 2947 3368 3643 5894 6736 7286 11788 13472 14572 23576 25501 26944 29144 47152 51002 58288 94304 102004 116576 188608 204008 233152 408016 816032 1533703 1632064 3067406 6134812 10735921 12269624 21471842 24539248 42943684 49078496 85887368 98156992 171774736 343549472 687098944