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4210245632 = 214313821
BaseRepresentation
bin1111101011110011…
…0100000000000000
3101212102022122020102
43322330310000000
532110310330012
61533440101532
7206222332415
oct37274640000
911772278212
104210245632
11187063494a
129960048a8
13521355308
142bd24210c
151999552c2
hexfaf34000

4210245632 has 60 divisors (see below), whose sum is σ = 8457424836. Its totient is φ = 2095841280.

The previous prime is 4210245617. The next prime is 4210245649. The reversal of 4210245632 is 2365420124.

It can be written as a sum of positive squares in 2 ways, for example, as 403849216 + 3806396416 = 20096^2 + 61696^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4210245595 and 4210245604.

It is a congruent number.

It is an unprimeable number.

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, 5127782 + ... + 5128602.

Almost surely, 24210245632 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 4210245632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228712418).

4210245632 is an abundant number, since it is smaller than the sum of its proper divisors (4247179204).

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

4210245632 is an frugal number, since it uses more digits than its factorization.

4210245632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 4210245632 is about 64886.4056024064. The cubic root of 4210245632 is about 1614.7395327368.

Adding to 4210245632 its reverse (2365420124), we get a palindrome (6575665756).

The spelling of 4210245632 in words is "four billion, two hundred ten million, two hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 313 512 626 821 1024 1252 1642 2048 2504 3284 4096 5008 6568 8192 10016 13136 16384 20032 26272 40064 52544 80128 105088 160256 210176 256973 320512 420352 513946 641024 840704 1027892 1282048 1681408 2055784 2564096 3362816 4111568 5128192 6725632 8223136 13451264 16446272 32892544 65785088 131570176 263140352 526280704 1052561408 2105122816 4210245632