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27286480 = 2451326237
BaseRepresentation
bin110100000010…
…1101111010000
31220100022000101
41220011233100
523441131410
62412502144
7450634264
oct150055720
956308011
1027286480
1114447811
12917a954
135864b60
1438a40a4
1525ded3a
hex1a05bd0

27286480 has 40 divisors (see below), whose sum is σ = 68323752. Its totient is φ = 10074624.

The previous prime is 27286453. The next prime is 27286517. The reversal of 27286480 is 8468272.

It can be written as a sum of positive squares in 4 ways, for example, as 163216 + 27123264 = 404^2 + 5208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 12079 + ... + 14158.

Almost surely, 227286480 is an apocalyptic number.

27286480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27286480 is an abundant number, since it is smaller than the sum of its proper divisors (41037272).

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

27286480 is a wasteful number, since it uses less digits than its factorization.

27286480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26263 (or 26257 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 27286480 is about 5223.6462361075. The cubic root of 27286480 is about 301.0573063371.

The spelling of 27286480 in words is "twenty-seven million, two hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 26237 52474 104948 131185 209896 262370 341081 419792 524740 682162 1049480 1364324 1705405 2098960 2728648 3410810 5457296 6821620 13643240 27286480