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27412056 = 23327137397
BaseRepresentation
bin110100010010…
…0011001011000
31220120200021100
41220210121120
524004141211
62415311400
7451666350
oct150443130
956520240
1027412056
11145230a1
12921b560
1358aa069
1438d7b60
152617156
hex1a24658

27412056 has 96 divisors (see below), whose sum is σ = 85681440. Its totient is φ = 7755264.

The previous prime is 27412019. The next prime is 27412081. The reversal of 27412056 is 65021472.

27412056 = T155 + T156 + ... + T551.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68850 + ... + 69246.

It is an arithmetic number, because the mean of its divisors is an integer number (892515).

Almost surely, 227412056 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 27412056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42840720).

27412056 is an abundant number, since it is smaller than the sum of its proper divisors (58269384).

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

27412056 is a wasteful number, since it uses less digits than its factorization.

27412056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 27412056 is about 5235.6523948788. The cubic root of 27412056 is about 301.5184348851.

The spelling of 27412056 in words is "twenty-seven million, four hundred twelve thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 137 168 252 274 397 411 504 548 794 822 959 1096 1191 1233 1588 1644 1918 2382 2466 2779 2877 3176 3288 3573 3836 4764 4932 5558 5754 7146 7672 8337 8631 9528 9864 11116 11508 14292 16674 17262 22232 23016 25011 28584 33348 34524 50022 54389 66696 69048 100044 108778 163167 200088 217556 326334 380723 435112 489501 652668 761446 979002 1142169 1305336 1522892 1958004 2284338 3045784 3426507 3916008 4568676 6853014 9137352 13706028 27412056