Search a number
-
+
631565028 = 2232175917491
BaseRepresentation
bin100101101001001…
…110101011100100
31122000101211100100
4211221032223210
52243140040103
6142400344100
721436133313
oct4551165344
91560354310
10631565028
112a4558176
12157615030
13a0acb023
145dc4227a
153a6a55a3
hex25a4eae4

631565028 has 72 divisors (see below), whose sum is σ = 1719113760. Its totient is φ = 194768640.

The previous prime is 631565021. The next prime is 631565029. The reversal of 631565028 is 820565136.

631565028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 631564983 and 631565001.

It is not an unprimeable number, because it can be changed into a prime (631565021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27363 + ... + 44853.

It is an arithmetic number, because the mean of its divisors is an integer number (23876580).

Almost surely, 2631565028 is an apocalyptic number.

631565028 is a gapful number since it is divisible by the number (68) 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 631565028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859556880).

631565028 is an abundant number, since it is smaller than the sum of its proper divisors (1087548732).

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

631565028 is a wasteful number, since it uses less digits than its factorization.

631565028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17577 (or 17572 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 631565028 is about 25130.9575623373. The cubic root of 631565028 is about 857.9711630649.

The spelling of 631565028 in words is "six hundred thirty-one million, five hundred sixty-five thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 59 68 102 118 153 177 204 236 306 354 531 612 708 1003 1062 2006 2124 3009 4012 6018 9027 12036 17491 18054 34982 36108 52473 69964 104946 157419 209892 297347 314838 594694 629676 892041 1031969 1189388 1784082 2063938 2676123 3095907 3568164 4127876 5352246 6191814 9287721 10704492 12383628 17543473 18575442 35086946 37150884 52630419 70173892 105260838 157891257 210521676 315782514 631565028