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5562144 = 253273189
BaseRepresentation
bin10101001101111100100000
3101110120211100
4111031330200
52410442034
6315114400
765164110
oct25157440
911416740
105562144
113159a15
121a42a00
1311c9913
14a4b040
1574d099
hex54df20

5562144 has 144 divisors (see below), whose sum is σ = 18869760. Its totient is φ = 1520640.

The previous prime is 5562143. The next prime is 5562157. The reversal of 5562144 is 4412655.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (5562143) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 62452 + ... + 62540.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

Almost surely, 25562144 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 5562144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434880).

5562144 is an abundant number, since it is smaller than the sum of its proper divisors (13307616).

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

5562144 is a wasteful number, since it uses less digits than its factorization.

5562144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 132 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 5562144 is about 2358.4198099575. The cubic root of 5562144 is about 177.1797465416.

Adding to 5562144 its reverse (4412655), we get a palindrome (9974799).

The spelling of 5562144 in words is "five million, five hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 89 93 96 112 124 126 144 168 178 186 217 224 248 252 267 279 288 336 356 372 434 496 504 534 558 623 651 672 712 744 801 868 992 1008 1068 1116 1246 1302 1424 1488 1602 1736 1869 1953 2016 2136 2232 2492 2604 2759 2848 2976 3204 3472 3738 3906 4272 4464 4984 5208 5518 5607 6408 6944 7476 7812 8277 8544 8928 9968 10416 11036 11214 12816 14952 15624 16554 19313 19936 20832 22072 22428 24831 25632 29904 31248 33108 38626 44144 44856 49662 57939 59808 62496 66216 77252 88288 89712 99324 115878 132432 154504 173817 179424 198648 231756 264864 309008 347634 397296 463512 618016 695268 794592 927024 1390536 1854048 2781072 5562144