Search a number
-
+
27826812 = 223213371607
BaseRepresentation
bin110101000100…
…1101001111100
31221100202012200
41222021221330
524110424222
62432231500
7455344506
oct152115174
957322180
1027826812
1114786772
12939b590
1359c3a90
1439a4d76
152699eac
hex1a89a7c

27826812 has 72 divisors (see below), whose sum is σ = 77846496. Its totient is φ = 8325504.

The previous prime is 27826801. The next prime is 27826853. The reversal of 27826812 is 21862872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 16513 + ... + 18119.

Almost surely, 227826812 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 27826812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38923248).

27826812 is an abundant number, since it is smaller than the sum of its proper divisors (50019684).

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

27826812 is a wasteful number, since it uses less digits than its factorization.

27826812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1662 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 27826812 is about 5275.1125106485. The cubic root of 27826812 is about 303.0315295752.

The spelling of 27826812 in words is "twenty-seven million, eight hundred twenty-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1607 1924 2886 3214 4329 4821 5772 6428 8658 9642 14463 17316 19284 20891 28926 41782 57852 59459 62673 83564 118918 125346 178377 188019 237836 250692 356754 376038 535131 713508 752076 772967 1070262 1545934 2140524 2318901 3091868 4637802 6956703 9275604 13913406 27826812