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4050412212 = 2237116137151
BaseRepresentation
bin1111000101101100…
…0110001010110100
3101110021120021000010
43301123012022310
531243401142322
61505530220220
7202241635650
oct36133061264
911407507003
104050412212
111799396710
12950584670
134c71c2622
142a5d17a60
1518a8d220c
hexf16c62b4

4050412212 has 96 divisors (see below), whose sum is σ = 11803889664. Its totient is φ = 1050192000.

The previous prime is 4050412211. The next prime is 4050412213. The reversal of 4050412212 is 2122140504.

4050412212 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4050412211) and next prime (4050412213).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4050412211) 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, 562837 + ... + 569987.

It is an arithmetic number, because the mean of its divisors is an integer number (122957184).

Almost surely, 24050412212 is an apocalyptic number.

4050412212 is a gapful number since it is divisible by the number (42) 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 4050412212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901944832).

4050412212 is an abundant number, since it is smaller than the sum of its proper divisors (7753477452).

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

4050412212 is a wasteful number, since it uses less digits than its factorization.

4050412212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7789 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4050412212 is about 63642.8488677243. The cubic root of 4050412212 is about 1594.0419310274.

Adding to 4050412212 its reverse (2122140504), we get a palindrome (6172552716).

It can be divided in two parts, 405041 and 2212, that added together give a triangular number (407253 = T902).

The spelling of 4050412212 in words is "four billion, fifty million, four hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 613 924 1226 1839 2452 3678 4291 6743 7151 7356 8582 12873 13486 14302 17164 20229 21453 25746 26972 28604 40458 42906 47201 50057 51492 78661 80916 85812 94402 100114 141603 150171 157322 188804 200228 235983 283206 300342 314644 471966 550627 566412 600684 943932 1101254 1651881 2202508 3303762 4383563 6607524 8767126 13150689 17534252 26301378 30684941 48219193 52602756 61369882 92054823 96438386 122739764 144657579 184109646 192876772 289315158 337534351 368219292 578630316 675068702 1012603053 1350137404 2025206106 4050412212