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631687968 = 253214812
BaseRepresentation
bin100101101001101…
…100101100100000
31122000122001222200
4211221230230200
52243203003333
6142403133200
721440154612
oct4551545440
91560561880
10631687968
112a463157a
12157674200
13a0b41c82
145dc74db2
153a6cbc13
hex25a6cb20

631687968 has 54 divisors (see below), whose sum is σ = 1797576417. Its totient is φ = 210420480.

The previous prime is 631687963. The next prime is 631687981. The reversal of 631687968 is 869786136.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 628404624 + 3283344 = 25068^2 + 1812^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=17772.

It is not an unprimeable number, because it can be changed into a prime (631687963) 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 8 ways as a sum of consecutive naturals, for example, 425788 + ... + 427268.

Almost surely, 2631687968 is an apocalyptic number.

It is an amenable number.

631687968 is an abundant number, since it is smaller than the sum of its proper divisors (1165888449).

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

631687968 is an equidigital number, since it uses as much as digits as its factorization.

631687968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 1486 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 631687968 is about 25133.4034304946. The cubic root of 631687968 is about 858.0268301389.

The spelling of 631687968 in words is "six hundred thirty-one million, six hundred eighty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1481 2962 4443 5924 8886 11848 13329 17772 23696 26658 35544 47392 53316 71088 106632 142176 213264 426528 2193361 4386722 6580083 8773444 13160166 17546888 19740249 26320332 35093776 39480498 52640664 70187552 78960996 105281328 157921992 210562656 315843984 631687968