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4412316 = 2231743503
BaseRepresentation
bin10000110101001110011100
322022011120010
4100311032130
52112143231
6234323220
752334616
oct20651634
98264503
104412316
112544047
121589510
13bb644c
1482bdb6
155c2546
hex43539c

4412316 has 48 divisors (see below), whose sum is σ = 11176704. Its totient is φ = 1349376.

The previous prime is 4412293. The next prime is 4412327. The reversal of 4412316 is 6132144.

4412316 = T135 + T136 + ... + T306.

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

It is a junction number, because it is equal to n+sod(n) for n = 4412292 and 4412301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8521 + ... + 9023.

It is an arithmetic number, because the mean of its divisors is an integer number (232848).

Almost surely, 24412316 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 4412316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588352).

4412316 is an abundant number, since it is smaller than the sum of its proper divisors (6764388).

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

4412316 is a wasteful number, since it uses less digits than its factorization.

4412316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 568 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 4412316 is about 2100.5513561920. The cubic root of 4412316 is about 164.0170020049.

The spelling of 4412316 in words is "four million, four hundred twelve thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 503 516 731 1006 1462 1509 2012 2193 2924 3018 4386 6036 8551 8772 17102 21629 25653 34204 43258 51306 64887 86516 102612 129774 259548 367693 735386 1103079 1470772 2206158 4412316