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631747136 = 2629340381
BaseRepresentation
bin100101101001111…
…011001001000000
31122000202002011002
4211221323021000
52243211402021
6142404311132
721440522246
oct4551731100
91560662132
10631747136
112a4671a79
121576a24a8
13a0b62b97
145dc8c796
153a6de50b
hex25a7b240

631747136 has 28 divisors (see below), whose sum is σ = 1296855420. Its totient is φ = 304980480.

The previous prime is 631747133. The next prime is 631747189.

631747136 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 309760000 + 321987136 = 17600^2 + 17944^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 631747136.

It is not an unprimeable number, because it can be changed into a prime (631747133) 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 3 ways as a sum of consecutive naturals, for example, 168335 + ... + 172046.

It is an arithmetic number, because the mean of its divisors is an integer number (46316265).

Almost surely, 2631747136 is an apocalyptic number.

It is an amenable number.

631747136 is an abundant number, since it is smaller than the sum of its proper divisors (665108284).

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

631747136 is a wasteful number, since it uses less digits than its factorization.

631747136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340422 (or 340412 counting only the distinct ones).

The product of its digits is 63504, while the sum is 38.

The square root of 631747136 is about 25134.5804818779. The cubic root of 631747136 is about 858.0536187587.

The spelling of 631747136 in words is "six hundred thirty-one million, seven hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 340381 680762 1361524 2723048 5446096 9871049 10892192 19742098 21784384 39484196 78968392 157936784 315873568 631747136