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27498042 = 23411131187
BaseRepresentation
bin110100011100…
…1011000111010
31220202001020000
41220321120322
524014414132
62421213430
7452505135
oct150713072
956661200
1027498042
1114581760
129261276
13590a240
14391b21c
15263287c
hex1a3963a

27498042 has 80 divisors (see below), whose sum is σ = 72448992. Its totient is φ = 7685280.

The previous prime is 27498017. The next prime is 27498047. The reversal of 27498042 is 24089472.

It is a super-2 number, since 2×274980422 = 1512284627667528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27497988 and 27498006.

It is not an unprimeable number, because it can be changed into a prime (27498047) 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 39 ways as a sum of consecutive naturals, for example, 22573 + ... + 23759.

Almost surely, 227498042 is an apocalyptic number.

27498042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 27498042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36224496).

27498042 is an abundant number, since it is smaller than the sum of its proper divisors (44950950).

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

27498042 is a wasteful number, since it uses less digits than its factorization.

27498042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 27498042 is about 5243.8575495526. The cubic root of 27498042 is about 301.8333729878.

The spelling of 27498042 in words is "twenty-seven million, four hundred ninety-eight thousand, forty-two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 286 297 351 429 594 702 858 891 1053 1187 1287 1782 2106 2374 2574 3561 3861 7122 7722 10683 11583 13057 15431 21366 23166 26114 30862 32049 39171 46293 64098 78342 92586 96147 117513 138879 169741 192294 235026 277758 339482 352539 416637 509223 705078 833274 1018446 1057617 1249911 1527669 2115234 2499822 3055338 4583007 9166014 13749021 27498042