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6416412 = 2231771443
BaseRepresentation
bin11000011110100000011100
3110001222122220
4120132200130
53120311122
6345305340
7105352512
oct30364034
913058586
106416412
113692822
122195250
1314386c2
14bd04b2
1586b25c
hex61e81c

6416412 has 48 divisors (see below), whose sum is σ = 16111872. Its totient is φ = 1980160.

The previous prime is 6416383. The next prime is 6416413. The reversal of 6416412 is 2146146.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6416413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14263 + ... + 14705.

It is an arithmetic number, because the mean of its divisors is an integer number (335664).

Almost surely, 26416412 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 6416412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8055936).

6416412 is an abundant number, since it is smaller than the sum of its proper divisors (9695460).

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

6416412 is a wasteful number, since it uses less digits than its factorization.

6416412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 536 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 6416412 is about 2533.0637575868. The cubic root of 6416412 is about 185.8221215371.

The spelling of 6416412 in words is "six million, four hundred sixteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 443 852 886 1207 1329 1772 2414 2658 3621 4828 5316 7242 7531 14484 15062 22593 30124 31453 45186 62906 90372 94359 125812 188718 377436 534701 1069402 1604103 2138804 3208206 6416412