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27384984 = 23321171487
BaseRepresentation
bin110100001110…
…1110010011000
31220112022010200
41220131302120
524002304414
62414542200
7451524414
oct150356230
956468120
1027384984
1114504820
129207960
13589a943
1438cbd44
15260e109
hex1a1dc98

27384984 has 96 divisors (see below), whose sum is σ = 82218240. Its totient is φ = 8164800.

The previous prime is 27384979. The next prime is 27384989. The reversal of 27384984 is 48948372.

It is an interprime number because it is at equal distance from previous prime (27384979) and next prime (27384989).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27384989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55989 + ... + 56475.

It is an arithmetic number, because the mean of its divisors is an integer number (856440).

Almost surely, 227384984 is an apocalyptic number.

27384984 is a gapful number since it is divisible by the number (24) 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 27384984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41109120).

27384984 is an abundant number, since it is smaller than the sum of its proper divisors (54833256).

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

27384984 is a wasteful number, since it uses less digits than its factorization.

27384984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 574 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 27384984 is about 5233.0664050822. The cubic root of 27384984 is about 301.4191428596.

The spelling of 27384984 in words is "twenty-seven million, three hundred eighty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 71 72 88 99 132 142 198 213 264 284 396 426 487 568 639 781 792 852 974 1278 1461 1562 1704 1948 2343 2556 2922 3124 3896 4383 4686 5112 5357 5844 6248 7029 8766 9372 10714 11688 14058 16071 17532 18744 21428 28116 32142 34577 35064 42856 48213 56232 64284 69154 96426 103731 128568 138308 192852 207462 276616 311193 380347 385704 414924 622386 760694 829848 1141041 1244772 1521388 2282082 2489544 3042776 3423123 4564164 6846246 9128328 13692492 27384984