Search a number
-
+
27355692 = 22371324147
BaseRepresentation
bin110100001011…
…0101000101100
31220110210221210
41220112220230
524000340232
62414154420
7451343130
oct150265054
956423853
1027355692
1114494811
1291b2a10
13588a500
1438c13c0
1526055cc
hex1a16a2c

27355692 has 144 divisors (see below), whose sum is σ = 82639872. Its totient is φ = 6888960.

The previous prime is 27355681. The next prime is 27355711. The reversal of 27355692 is 29655372.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 27355692.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 582013 + ... + 582059.

It is an arithmetic number, because the mean of its divisors is an integer number (573888).

Almost surely, 227355692 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 27355692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41319936).

27355692 is an abundant number, since it is smaller than the sum of its proper divisors (55284180).

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

27355692 is a wasteful number, since it uses less digits than its factorization.

27355692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its digits is 113400, while the sum is 39.

The square root of 27355692 is about 5230.2669147951. The cubic root of 27355692 is about 301.3116348008.

The spelling of 27355692 in words is "twenty-seven million, three hundred fifty-five thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 41 42 47 52 78 82 84 91 94 123 141 156 164 169 182 188 246 273 282 287 329 338 364 492 507 533 546 564 574 611 658 676 861 987 1014 1066 1092 1148 1183 1222 1316 1599 1722 1833 1927 1974 2028 2132 2366 2444 3198 3444 3549 3666 3731 3854 3948 4277 4732 5781 6396 6929 7098 7332 7462 7708 7943 8554 11193 11562 12831 13489 13858 14196 14924 15886 17108 20787 22386 23124 23829 25051 25662 26978 27716 31772 40467 41574 44772 47658 48503 50102 51324 53956 55601 75153 80934 83148 95316 97006 100204 111202 145509 150306 161868 166803 175357 194012 222404 291018 300612 325663 333606 350714 526071 582036 651326 667212 701428 976989 1052142 1302652 1953978 2104284 2279641 3907956 4559282 6838923 9118564 13677846 27355692