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630848036 = 2271317971051
BaseRepresentation
bin100101100110011…
…111101000100100
31121222001101211002
4211212133220210
52242444114121
6142333132432
721430056050
oct4546375044
91558041732
10630848036
112a4108515
1215732a118
13a0909880
145dad6c60
153a5b2e0b
hex2599fa24

630848036 has 96 divisors (see below), whose sum is σ = 1454890752. Its totient is φ = 232243200.

The previous prime is 630848033. The next prime is 630848063.

630848036 is nontrivially palindromic in base 10.

630848036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (630848033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 599711 + ... + 600761.

It is an arithmetic number, because the mean of its divisors is an integer number (15155112).

Almost surely, 2630848036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630848036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727445376).

630848036 is an abundant number, since it is smaller than the sum of its proper divisors (824042716).

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

630848036 is a wasteful number, since it uses less digits than its factorization.

630848036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 630848036 is about 25116.6883963631. The cubic root of 630848036 is about 857.6463660034.

The spelling of 630848036 in words is "six hundred thirty million, eight hundred forty-eight thousand, thirty-six".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 97 119 182 194 221 238 364 388 442 476 679 884 1051 1261 1358 1547 1649 2102 2522 2716 3094 3298 4204 5044 6188 6596 7357 8827 11543 13663 14714 17654 17867 21437 23086 27326 29428 35308 35734 42874 46172 54652 71468 85748 95641 101947 125069 150059 191282 203894 232271 250138 300118 382564 407788 464542 500276 600236 713629 929084 1325311 1427258 1625897 1733099 2650622 2854516 3251794 3466198 5301244 6503588 6932396 9277177 12131693 18554354 22530287 24263386 37108708 45060574 48526772 90121148 157712009 315424018 630848036