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27379044 = 223272111783
BaseRepresentation
bin110100001110…
…0010101100100
31220111222222200
41220130111210
524002112134
62414454500
7451501200
oct150342544
956458880
1027379044
1114500310
129204430
135898024
1438c9b00
15260c499
hex1a1c564

27379044 has 216 divisors, whose sum is σ = 94112928. Its totient is φ = 6612480.

The previous prime is 27379043. The next prime is 27379067. The reversal of 27379044 is 44097372.

It is a super-2 number, since 2×273790442 = 1499224100707872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (27379043) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 329827 + ... + 329909.

It is an arithmetic number, because the mean of its divisors is an integer number (435708).

Almost surely, 227379044 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 27379044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47056464).

27379044 is an abundant number, since it is smaller than the sum of its proper divisors (66733884).

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

27379044 is a wasteful number, since it uses less digits than its factorization.

27379044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 27379044 is about 5232.4988294313. The cubic root of 27379044 is about 301.3973479570.

It can be divided in two parts, 2737 and 9044, that added together give a triangular number (11781 = T153).

The spelling of 27379044 in words is "twenty-seven million, three hundred seventy-nine thousand, forty-four".