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27042664 = 23112331431
BaseRepresentation
bin110011100101…
…0001101101000
31212212220120011
41213022031220
523410331124
62403341304
7445600405
oct147121550
955786504
1027042664
11142a0610
129081834
1357aab9c
14383d2ac
152592994
hex19ca368

27042664 has 64 divisors (see below), whose sum is σ = 59719680. Its totient is φ = 11352000.

The previous prime is 27042647. The next prime is 27042677. The reversal of 27042664 is 46624072.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62529 + ... + 62959.

It is an arithmetic number, because the mean of its divisors is an integer number (933120).

Almost surely, 227042664 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 27042664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29859840).

27042664 is an abundant number, since it is smaller than the sum of its proper divisors (32677016).

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

27042664 is a wasteful number, since it uses less digits than its factorization.

27042664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 27042664 is about 5200.2561475373. The cubic root of 27042664 is about 300.1579316589.

The spelling of 27042664 in words is "twenty-seven million, forty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 23 31 44 46 62 88 92 124 184 248 253 341 431 506 682 713 862 1012 1364 1426 1724 2024 2728 2852 3448 4741 5704 7843 9482 9913 13361 15686 18964 19826 26722 31372 37928 39652 53444 62744 79304 106888 109043 146971 218086 293942 307303 436172 587884 614606 872344 1175768 1229212 2458424 3380333 6760666 13521332 27042664