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27678992 = 2411217292
BaseRepresentation
bin110100110010…
…1100100010000
31221002020102212
41221211210100
524041211432
62425131252
7454160525
oct151454420
957066385
1027678992
1114695700
129329b28
135971703
14396714c
15266b2b2
hex1a65910

27678992 has 90 divisors (see below), whose sum is σ = 64640394. Its totient is φ = 11432960.

The previous prime is 27678967. The next prime is 27679007. The reversal of 27678992 is 29987672.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7929856 + 19749136 = 2816^2 + 4444^2 .

It is a super-2 number, since 2×276789922 = 1532253196272128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27678992.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 954434 + ... + 954462.

Almost surely, 227678992 is an apocalyptic number.

27678992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27678992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32320197).

27678992 is an abundant number, since it is smaller than the sum of its proper divisors (36961402).

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

27678992 is a wasteful number, since it uses less digits than its factorization.

27678992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 59 counting only the distinct ones).

The product of its digits is 762048, while the sum is 50.

The square root of 27678992 is about 5261.0827782881. The cubic root of 27678992 is about 302.4939943711.

The spelling of 27678992 in words is "twenty-seven million, six hundred seventy-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 17 22 29 34 44 58 68 88 116 121 136 176 187 232 242 272 319 374 464 484 493 638 748 841 968 986 1276 1496 1682 1936 1972 2057 2552 2992 3364 3509 3944 4114 5104 5423 6728 7018 7888 8228 9251 10846 13456 14036 14297 16456 18502 21692 28072 28594 32912 37004 43384 56144 57188 59653 74008 86768 101761 114376 119306 148016 157267 203522 228752 238612 314534 407044 477224 629068 814088 954448 1258136 1628176 1729937 2516272 3459874 6919748 13839496 27678992