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27968436 = 2233258967
BaseRepresentation
bin110101010110…
…0001110110100
31221121221111000
41222230032310
524124442221
62435243300
7456504426
oct152541664
957557430
1027968436
1114873111
129449530
135a43392
143a00816
1526c6e26
hex1aac3b4

27968436 has 24 divisors (see below), whose sum is σ = 72511040. Its totient is φ = 9322776.

The previous prime is 27968429. The next prime is 27968453. The reversal of 27968436 is 63486972.

It is a junction number, because it is equal to n+sod(n) for n = 27968391 and 27968400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129376 + ... + 129591.

Almost surely, 227968436 is an apocalyptic number.

It is an amenable number.

27968436 is an abundant number, since it is smaller than the sum of its proper divisors (44542604).

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

27968436 is a wasteful number, since it uses less digits than its factorization.

27968436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258980 (or 258972 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 27968436 is about 5288.5192634612. The cubic root of 27968436 is about 303.5447508394.

The spelling of 27968436 in words is "twenty-seven million, nine hundred sixty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 258967 517934 776901 1035868 1553802 2330703 3107604 4661406 6992109 9322812 13984218 27968436