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27246996 = 22337231567
BaseRepresentation
bin110011111110…
…0000110010100
31220021021212000
41213330012110
523433400441
62411555300
7450411210
oct147740624
956237760
1027246996
1114420087
12915bb30
13584cbaa
143893940
1525d32b6
hex19fc194

27246996 has 96 divisors (see below), whose sum is σ = 84295680. Its totient is φ = 7441632.

The previous prime is 27246983. The next prime is 27246997. The reversal of 27246996 is 69964272.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27246997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16605 + ... + 18171.

It is an arithmetic number, because the mean of its divisors is an integer number (878080).

Almost surely, 227246996 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 27246996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42147840).

27246996 is an abundant number, since it is smaller than the sum of its proper divisors (57048684).

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

27246996 is a wasteful number, since it uses less digits than its factorization.

27246996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610 (or 1602 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 27246996 is about 5219.8655155090. The cubic root of 27246996 is about 300.9120245610.

The spelling of 27246996 in words is "twenty-seven million, two hundred forty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 84 92 108 126 138 161 189 207 252 276 322 378 414 483 621 644 756 828 966 1242 1449 1567 1932 2484 2898 3134 4347 4701 5796 6268 8694 9402 10969 14103 17388 18804 21938 28206 32907 36041 42309 43876 56412 65814 72082 84618 98721 108123 131628 144164 169236 197442 216246 252287 296163 324369 394884 432492 504574 592326 648738 756861 973107 1009148 1184652 1297476 1513722 1946214 2270583 3027444 3892428 4541166 6811749 9082332 13623498 27246996