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4636315242 = 2321321789653
BaseRepresentation
bin1000101000101100…
…01000111001101010
3102222010001012212100
410110112020321222
533443344041432
62044020154230
7222615013026
oct42426107152
912863035770
104636315242
111a6a096299
12a94838976
1358b6c3900
1431da71386
151c206807c
hex114588e6a

4636315242 has 72 divisors (see below), whose sum is σ = 11517490764. Its totient is φ = 1342628352.

The previous prime is 4636315223. The next prime is 4636315247. The reversal of 4636315242 is 2425136364.

4636315242 is a `hidden beast` number, since 4 + 636 + 3 + 15 + 2 + 4 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2422706841 + 2213608401 = 49221^2 + 47049^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4636315197 and 4636315206.

It is not an unprimeable number, because it can be changed into a prime (4636315247) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6888 + ... + 96540.

Almost surely, 24636315242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4636315242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758745382).

4636315242 is an abundant number, since it is smaller than the sum of its proper divisors (6881175522).

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

4636315242 is a wasteful number, since it uses less digits than its factorization.

4636315242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89704 (or 89688 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 4636315242 is about 68090.4930368403. The cubic root of 4636315242 is about 1667.4685542750.

The spelling of 4636315242 in words is "four billion, six hundred thirty-six million, three hundred fifteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 169 221 234 306 338 442 507 663 1014 1326 1521 1989 2873 3042 3978 5746 8619 17238 25857 51714 89653 179306 268959 537918 806877 1165489 1524101 1613754 2330978 3048202 3496467 4572303 6992934 9144606 10489401 13716909 15151357 19813313 20978802 27433818 30302714 39626626 45454071 59439939 90908142 118879878 136362213 178319817 257573069 272724426 356639634 515146138 772719207 1545438414 2318157621 4636315242