Search a number
-
+
27079794 = 2327297411
BaseRepresentation
bin110011101001…
…1010001110010
31212221210111100
41213103101302
523413023134
62404225230
7446113560
oct147232162
955853440
1027079794
11143164a5
12909b216
1357c1a61
14384ca30
15259d999
hex19d3472

27079794 has 48 divisors (see below), whose sum is σ = 69376320. Its totient is φ = 7469280.

The previous prime is 27079777. The next prime is 27079799. The reversal of 27079794 is 49797072.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (27079799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52 + ... + 7359.

It is an arithmetic number, because the mean of its divisors is an integer number (1445340).

Almost surely, 227079794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27079794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34688160).

27079794 is an abundant number, since it is smaller than the sum of its proper divisors (42296526).

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

27079794 is a wasteful number, since it uses less digits than its factorization.

27079794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7455 (or 7452 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 27079794 is about 5203.8249394076. The cubic root of 27079794 is about 300.2952426772.

The spelling of 27079794 in words is "twenty-seven million, seventy-nine thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 3654 7411 14822 22233 44466 51877 66699 103754 133398 155631 214919 311262 429838 466893 644757 933786 1289514 1504433 1934271 3008866 3868542 4513299 9026598 13539897 27079794