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27944124 = 223131741257
BaseRepresentation
bin110101010011…
…0010010111100
31221120201010120
41222212102330
524123202444
62434534540
7456343515
oct152462274
957521116
1027944124
111485691a
129437450
135a352b0
1439d5a0c
1526beb19
hex1aa64bc

27944124 has 96 divisors (see below), whose sum is σ = 76458816. Its totient is φ = 7864320.

The previous prime is 27944101. The next prime is 27944167. The reversal of 27944124 is 42144972.

It is a super-2 number, since 2×279441242 = 1561748132254752, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 108604 + ... + 108860.

It is an arithmetic number, because the mean of its divisors is an integer number (796446).

Almost surely, 227944124 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 27944124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38229408).

27944124 is an abundant number, since it is smaller than the sum of its proper divisors (48514692).

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

27944124 is a wasteful number, since it uses less digits than its factorization.

27944124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 27944124 is about 5286.2201997268. The cubic root of 27944124 is about 303.4567716695.

The spelling of 27944124 in words is "twenty-seven million, nine hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 41 51 52 68 78 82 102 123 156 164 204 221 246 257 442 492 514 533 663 697 771 884 1028 1066 1326 1394 1542 1599 2091 2132 2652 2788 3084 3198 3341 4182 4369 6396 6682 8364 8738 9061 10023 10537 13107 13364 17476 18122 20046 21074 26214 27183 31611 36244 40092 42148 52428 54366 56797 63222 108732 113594 126444 136981 170391 179129 227188 273962 340782 358258 410943 537387 547924 681564 716516 821886 1074774 1643772 2149548 2328677 4657354 6986031 9314708 13972062 27944124