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5326992 = 2433111959
BaseRepresentation
bin10100010100100010010000
3101000122021000
4110110202100
52330430432
6310102000
763164406
oct24244220
911018230
105326992
113009280
12194a900
131146888
149c9476
1570357c
hex514890

5326992 has 160 divisors (see below), whose sum is σ = 17856000. Its totient is φ = 1503360.

The previous prime is 5326963. The next prime is 5327017. The reversal of 5326992 is 2996235.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 54 + 314 + 22 + 65 + 92 + 96 + 212 .

It is a plaindrome in base 13.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 90259 + ... + 90317.

It is an arithmetic number, because the mean of its divisors is an integer number (111600).

Almost surely, 25326992 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 5326992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928000).

5326992 is an abundant number, since it is smaller than the sum of its proper divisors (12529008).

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

5326992 is a wasteful number, since it uses less digits than its factorization.

5326992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 5326992 is about 2308.0277294695. The cubic root of 5326992 is about 174.6468196732.

It can be divided in two parts, 53269 and 92, that added together give a square (53361 = 2312).

The spelling of 5326992 in words is "five million, three hundred twenty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 44 48 54 57 59 66 72 76 88 99 108 114 118 132 144 152 171 176 177 198 209 216 228 236 264 297 304 342 354 396 418 432 456 472 513 528 531 594 627 649 684 708 792 836 912 944 1026 1062 1121 1188 1254 1298 1368 1416 1584 1593 1672 1881 1947 2052 2124 2242 2376 2508 2596 2736 2832 3186 3344 3363 3762 3894 4104 4248 4484 4752 5016 5192 5643 5841 6372 6726 7524 7788 8208 8496 8968 10032 10089 10384 11286 11682 12331 12744 13452 15048 15576 17523 17936 20178 22572 23364 24662 25488 26904 30096 30267 31152 35046 36993 40356 45144 46728 49324 53808 60534 70092 73986 80712 90288 93456 98648 110979 121068 140184 147972 161424 197296 221958 242136 280368 295944 332937 443916 484272 591888 665874 887832 1331748 1775664 2663496 5326992