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6244416 = 263237293
BaseRepresentation
bin10111110100100001000000
3102202020201200
4113310201000
53044310131
6341501200
7104035203
oct27644100
912666650
106244416
113585582
122111800
1313a8329
14b8793a
158352e6
hex5f4840

6244416 has 84 divisors (see below), whose sum is σ = 18444972. Its totient is φ = 2018304.

The previous prime is 6244391. The next prime is 6244429. The reversal of 6244416 is 6144426.

6244416 is a `hidden beast` number, since 6 + 244 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5760000 + 484416 = 2400^2 + 696^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 6244416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21166 + ... + 21458.

It is an arithmetic number, because the mean of its divisors is an integer number (219583).

Almost surely, 26244416 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 6244416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9222486).

6244416 is an abundant number, since it is smaller than the sum of its proper divisors (12200556).

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

6244416 is a wasteful number, since it uses less digits than its factorization.

6244416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 335 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 6244416 is about 2498.8829504401. The cubic root of 6244416 is about 184.1467009015.

The spelling of 6244416 in words is "six million, two hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 293 296 333 444 576 586 592 666 879 888 1172 1184 1332 1758 1776 2344 2368 2637 2664 3516 3552 4688 5274 5328 7032 7104 9376 10548 10656 10841 14064 18752 21096 21312 21682 28128 32523 42192 43364 56256 65046 84384 86728 97569 130092 168768 173456 195138 260184 346912 390276 520368 693824 780552 1040736 1561104 2081472 3122208 6244416