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5661216 = 2532111787
BaseRepresentation
bin10101100110001000100000
3101122121201200
4111212020200
52422124331
6321201200
766056001
oct25461040
911577650
105661216
1132173a0
121a90200
131232a42
14a751a8
1576c5e6
hex566220

5661216 has 72 divisors (see below), whose sum is σ = 17572464. Its totient is φ = 1714560.

The previous prime is 5661209. The next prime is 5661217. The reversal of 5661216 is 6121665.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5661216.

It is not an unprimeable number, because it can be changed into a prime (5661217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2275 + ... + 4061.

It is an arithmetic number, because the mean of its divisors is an integer number (244062).

Almost surely, 25661216 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 5661216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8786232).

5661216 is an abundant number, since it is smaller than the sum of its proper divisors (11911248).

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

5661216 is a wasteful number, since it uses less digits than its factorization.

5661216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1803 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 5661216 is about 2379.3309984111. The cubic root of 5661216 is about 178.2255273735.

The spelling of 5661216 in words is "five million, six hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 1787 3168 3574 5361 7148 10722 14296 16083 19657 21444 28592 32166 39314 42888 57184 58971 64332 78628 85776 117942 128664 157256 171552 176913 235884 257328 314512 353826 471768 514656 629024 707652 943536 1415304 1887072 2830608 5661216