Search a number
-
+
27294246 = 235771113
BaseRepresentation
bin110100000011…
…1101000100110
31220100200200000
41220013220212
523441403441
62413002130
7450666030
oct150075046
956320600
1027294246
1114452631
129183346
135868555
1438a6c50
1525e22b6
hex1a07a26

27294246 has 96 divisors (see below), whose sum is σ = 71705088. Its totient is φ = 7620480.

The previous prime is 27294221. The next prime is 27294247. The reversal of 27294246 is 64249272.

It is a self number, because there is not a number n which added to its sum of digits gives 27294246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27294247) by changing a digit.

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, 241486 + ... + 241598.

It is an arithmetic number, because the mean of its divisors is an integer number (746928).

Almost surely, 227294246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27294246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35852544).

27294246 is an abundant number, since it is smaller than the sum of its proper divisors (44410842).

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

27294246 is a wasteful number, since it uses less digits than its factorization.

27294246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 27294246 is about 5224.3895337159. The cubic root of 27294246 is about 301.0858649159.

The spelling of 27294246 in words is "twenty-seven million, two hundred ninety-four thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 71 81 113 126 142 162 189 213 226 243 339 378 426 486 497 567 639 678 791 994 1017 1134 1278 1491 1582 1701 1917 2034 2373 2982 3051 3402 3834 4473 4746 5751 6102 7119 8023 8946 9153 11502 13419 14238 16046 17253 18306 21357 24069 26838 27459 34506 40257 42714 48138 54918 56161 64071 72207 80514 112322 120771 128142 144414 168483 192213 216621 241542 336966 384426 433242 505449 649863 1010898 1299726 1516347 1949589 3032694 3899178 4549041 9098082 13647123 27294246