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27066492 = 22322397337
BaseRepresentation
bin110011101000…
…0000001111100
31212221010020200
41213100001330
523412111432
62404043500
7446030025
oct147200174
955833220
1027066492
1114307502
129093590
1357b899b
143847c4c
152599a7c
hex19d007c

27066492 has 72 divisors (see below), whose sum is σ = 72342816. Its totient is φ = 8515584.

The previous prime is 27066491. The next prime is 27066509. The reversal of 27066492 is 29466072.

It is a happy number.

27066492 is a `hidden beast` number, since 2 + 7 + 0 + 6 + 649 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27066491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80148 + ... + 80484.

Almost surely, 227066492 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 27066492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36171408).

27066492 is an abundant number, since it is smaller than the sum of its proper divisors (45276324).

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

27066492 is a wasteful number, since it uses less digits than its factorization.

27066492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 27066492 is about 5202.5466840769. The cubic root of 27066492 is about 300.2460647852.

The spelling of 27066492 in words is "twenty-seven million, sixty-six thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 97 138 194 207 276 291 337 388 414 582 674 828 873 1011 1164 1348 1746 2022 2231 3033 3492 4044 4462 6066 6693 7751 8924 12132 13386 15502 20079 23253 26772 31004 32689 40158 46506 65378 69759 80316 93012 98067 130756 139518 196134 279036 294201 392268 588402 751847 1176804 1503694 2255541 3007388 4511082 6766623 9022164 13533246 27066492