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27049400 = 235271392
BaseRepresentation
bin110011100101…
…1110110111000
31212220020210122
41213023312320
523411040100
62403432412
7445626140
oct147136670
955806718
1027049400
11142a5684
129085708
1357b0c81
143841920
152594985
hex19cbdb8

27049400 has 72 divisors (see below), whose sum is σ = 72394920. Its totient is φ = 9207360.

The previous prime is 27049387. The next prime is 27049411. The reversal of 27049400 is 494072.

It is a self number, because there is not a number n which added to its sum of digits gives 27049400.

It is a congruent number.

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, 194531 + ... + 194669.

It is an arithmetic number, because the mean of its divisors is an integer number (1005485).

Almost surely, 227049400 is an apocalyptic number.

27049400 is a gapful number since it is divisible by the number (20) 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 27049400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36197460).

27049400 is an abundant number, since it is smaller than the sum of its proper divisors (45345520).

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

27049400 is a wasteful number, since it uses less digits than its factorization.

27049400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 27049400 is about 5200.9037676158. The cubic root of 27049400 is about 300.1828514914.

Multiplying 27049400 by its product of nonzero digits (2016), we get a square (54531590400 = 2335202).

The spelling of 27049400 in words is "twenty-seven million, forty-nine thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 139 140 175 200 278 280 350 556 695 700 973 1112 1390 1400 1946 2780 3475 3892 4865 5560 6950 7784 9730 13900 19321 19460 24325 27800 38642 38920 48650 77284 96605 97300 135247 154568 193210 194600 270494 386420 483025 540988 676235 772840 966050 1081976 1352470 1932100 2704940 3381175 3864200 5409880 6762350 13524700 27049400