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27987648 = 2631311213
BaseRepresentation
bin110101011000…
…0111011000000
31221122220211120
41222300323000
524131101043
62435512240
7456614433
oct152607300
957586746
1027987648
1114886597
129458680
135a4c050
143a0781a
1526cc983
hex1ab0ec0

27987648 has 56 divisors (see below), whose sum is σ = 79753968. Its totient is φ = 8610816.

The previous prime is 27987647. The next prime is 27987649. The reversal of 27987648 is 84678972.

It is an interprime number because it is at equal distance from previous prime (27987647) and next prime (27987649).

It is a self number, because there is not a number n which added to its sum of digits gives 27987648.

It is not an unprimeable number, because it can be changed into a prime (27987643) 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 7 ways as a sum of consecutive naturals, for example, 3111 + ... + 8102.

It is an arithmetic number, because the mean of its divisors is an integer number (1424178).

Almost surely, 227987648 is an apocalyptic number.

It is an amenable number.

27987648 is an abundant number, since it is smaller than the sum of its proper divisors (51766320).

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

27987648 is a wasteful number, since it uses less digits than its factorization.

27987648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11241 (or 11231 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 27987648 is about 5290.3353390877. The cubic root of 27987648 is about 303.6142383021.

The spelling of 27987648 in words is "twenty-seven million, nine hundred eighty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 11213 22426 33639 44852 67278 89704 134556 145769 179408 269112 291538 358816 437307 538224 583076 717632 874614 1076448 1166152 1749228 2152896 2332304 3498456 4664608 6996912 9329216 13993824 27987648