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27530496 = 28337569
BaseRepresentation
bin110100100000…
…1010100000000
31220210200202000
41221001110000
524021433441
62422024000
7453001560
oct151012400
956720660
1027530496
11145a4084
129278000
13591bc46
143928da0
15263c2b6
hex1a41500

27530496 has 144 divisors (see below), whose sum is σ = 93206400. Its totient is φ = 7852032.

The previous prime is 27530491. The next prime is 27530507. The reversal of 27530496 is 69403572.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 27530496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27530491) 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 15 ways as a sum of consecutive naturals, for example, 48100 + ... + 48668.

Almost surely, 227530496 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 27530496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46603200).

27530496 is an abundant number, since it is smaller than the sum of its proper divisors (65675904).

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

27530496 is an equidigital number, since it uses as much as digits as its factorization.

27530496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 27530496 is about 5246.9511146951. The cubic root of 27530496 is about 301.9520705189.

The spelling of 27530496 in words is "twenty-seven million, five hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 569 576 672 756 768 864 896 1008 1138 1152 1344 1512 1707 1728 1792 2016 2276 2304 2688 3024 3414 3456 3983 4032 4552 5121 5376 6048 6828 6912 7966 8064 9104 10242 11949 12096 13656 15363 15932 16128 18208 20484 23898 24192 27312 30726 31864 35847 36416 40968 47796 48384 54624 61452 63728 71694 72832 81936 95592 107541 109248 122904 127456 143388 145664 163872 191184 215082 218496 245808 254912 286776 327744 382368 430164 436992 491616 509824 573552 655488 764736 860328 983232 1019648 1147104 1310976 1529472 1720656 1966464 2294208 3058944 3441312 3932928 4588416 6882624 9176832 13765248 27530496