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27293664 = 253401709
BaseRepresentation
bin110100000011…
…1011111100000
31220100122212110
41220013133200
523441344124
62412555320
7450664236
oct150073740
956318773
1027293664
1114452152
129182b40
1358681c8
1438a6956
1525e2029
hex1a077e0

27293664 has 48 divisors (see below), whose sum is σ = 71925840. Its totient is φ = 9062400.

The previous prime is 27293647. The next prime is 27293689. The reversal of 27293664 is 46639272.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38142 + ... + 38850.

It is an arithmetic number, because the mean of its divisors is an integer number (1498455).

Almost surely, 227293664 is an apocalyptic number.

27293664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

27293664 is an abundant number, since it is smaller than the sum of its proper divisors (44632176).

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

27293664 is a wasteful number, since it uses less digits than its factorization.

27293664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1115 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 27293664 is about 5224.3338331313. Note that the first 3 decimals coincide. The cubic root of 27293664 is about 301.0837248651.

The spelling of 27293664 in words is "twenty-seven million, two hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 401 709 802 1203 1418 1604 2127 2406 2836 3208 4254 4812 5672 6416 8508 9624 11344 12832 17016 19248 22688 34032 38496 68064 284309 568618 852927 1137236 1705854 2274472 3411708 4548944 6823416 9097888 13646832 27293664