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27955242 = 23271731421
BaseRepresentation
bin110101010100…
…1000000101010
31221121021101100
41222221000222
524124031432
62435102230
7456421110
oct152510052
957537340
1027955242
1114864207
129441976
135a3a383
1439d9ab0
1526c307c
hex1aa902a

27955242 has 96 divisors (see below), whose sum is σ = 75838464. Its totient is φ = 7257600.

The previous prime is 27955241. The next prime is 27955307. The reversal of 27955242 is 24255972.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 27955197 and 27955206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27955241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66192 + ... + 66612.

It is an arithmetic number, because the mean of its divisors is an integer number (789984).

Almost surely, 227955242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27955242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37919232).

27955242 is an abundant number, since it is smaller than the sum of its proper divisors (47883222).

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

27955242 is a wasteful number, since it uses less digits than its factorization.

27955242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 481 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 27955242 is about 5287.2716971988. The cubic root of 27955242 is about 303.4970113163.

The spelling of 27955242 in words is "twenty-seven million, nine hundred fifty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 31 34 42 51 62 63 93 102 119 126 153 186 217 238 279 306 357 421 434 527 558 651 714 842 1054 1071 1263 1302 1581 1953 2142 2526 2947 3162 3689 3789 3906 4743 5894 7157 7378 7578 8841 9486 11067 13051 14314 17682 21471 22134 26102 26523 33201 39153 42942 50099 53046 64413 66402 78306 91357 100198 117459 128826 150297 182714 221867 234918 274071 300594 443734 450891 548142 665601 822213 901782 1331202 1553069 1644426 1996803 3106138 3993606 4659207 9318414 13977621 27955242