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27985792 = 271311669
BaseRepresentation
bin110101011000…
…0011110000000
31221122211021211
41222300132000
524131021132
62435455504
7456606142
oct152603600
957584254
1027985792
111488515a
129457594
135a4b253
143a06c92
1526cc147
hex1ab0780

27985792 has 32 divisors (see below), whose sum is σ = 56212200. Its totient is φ = 13877760.

The previous prime is 27985759. The next prime is 27985807. The reversal of 27985792 is 29758972.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15934 + ... + 17602.

Almost surely, 227985792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27985792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28106100).

27985792 is an abundant number, since it is smaller than the sum of its proper divisors (28226408).

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

27985792 is a wasteful number, since it uses less digits than its factorization.

27985792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 1802 counting only the distinct ones).

The product of its digits is 635040, while the sum is 49.

The square root of 27985792 is about 5290.1599219683. The cubic root of 27985792 is about 303.6075267642.

The spelling of 27985792 in words is "twenty-seven million, nine hundred eighty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 131 262 524 1048 1669 2096 3338 4192 6676 8384 13352 16768 26704 53408 106816 213632 218639 437278 874556 1749112 3498224 6996448 13992896 27985792