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5529888 = 2532713211
BaseRepresentation
bin10101000110000100100000
3101101221120200
4111012010200
52403424023
6314305200
765001060
oct25060440
911357520
105529888
113137761
121a28200
1311b8030
14a3d3a0
15743743
hex546120

5529888 has 144 divisors (see below), whose sum is σ = 19446336. Its totient is φ = 1451520.

The previous prime is 5529883. The next prime is 5529889. The reversal of 5529888 is 8889255.

5529888 is a `hidden beast` number, since 552 + 98 + 8 + 8 = 666.

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

It is a super-2 number, since 2×55298882 = 61159322585088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5529883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26103 + ... + 26313.

It is an arithmetic number, because the mean of its divisors is an integer number (135044).

Almost surely, 25529888 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 5529888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9723168).

5529888 is an abundant number, since it is smaller than the sum of its proper divisors (13916448).

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

5529888 is a wasteful number, since it uses less digits than its factorization.

5529888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 5529888 is about 2351.5713895181. The cubic root of 5529888 is about 176.8365819077.

It can be divided in two parts, 552 and 9888, that added together give a triangular number (10440 = T144).

The spelling of 5529888 in words is "five million, five hundred twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 211 224 234 252 273 288 312 336 364 416 422 468 504 546 624 633 672 728 819 844 936 1008 1092 1248 1266 1456 1477 1638 1688 1872 1899 2016 2184 2532 2743 2912 2954 3276 3376 3744 3798 4368 4431 5064 5486 5908 6552 6752 7596 8229 8736 8862 10128 10972 11816 13104 13293 15192 16458 17724 19201 20256 21944 23632 24687 26208 26586 30384 32916 35448 38402 43888 47264 49374 53172 57603 60768 65832 70896 76804 87776 98748 106344 115206 131664 141792 153608 172809 197496 212688 230412 263328 307216 345618 394992 425376 460824 614432 691236 789984 921648 1382472 1843296 2764944 5529888