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687393952 = 257362627
BaseRepresentation
bin101000111110001…
…100110010100000
31202220110020020021
4220332030302200
52401433101302
6152113123224
723014516000
oct5076146240
91686406207
10687393952
1132301a283
12172259514
13ac5475ab
1467416000
1540532437
hex28f8cca0

687393952 has 48 divisors (see below), whose sum is σ = 1578225600. Its totient is φ = 294592704.

The previous prime is 687393943. The next prime is 687393953. The reversal of 687393952 is 259393786.

It is a self number, because there is not a number n which added to its sum of digits gives 687393952.

It is not an unprimeable number, because it can be changed into a prime (687393953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20338 + ... + 42289.

It is an arithmetic number, because the mean of its divisors is an integer number (32879700).

Almost surely, 2687393952 is an apocalyptic number.

It is an amenable number.

687393952 is an abundant number, since it is smaller than the sum of its proper divisors (890831648).

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

687393952 is an equidigital number, since it uses as much as digits as its factorization.

687393952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62658 (or 62636 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 52.

The square root of 687393952 is about 26218.1988702504. The cubic root of 687393952 is about 882.5417013307.

The spelling of 687393952 in words is "six hundred eighty-seven million, three hundred ninety-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2744 5488 10976 62627 125254 250508 438389 501016 876778 1002032 1753556 2004064 3068723 3507112 6137446 7014224 12274892 14028448 21481061 24549784 42962122 49099568 85924244 98199136 171848488 343696976 687393952