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27950076 = 22337113361
BaseRepresentation
bin110101010011…
…1101111111100
31221121000022000
41222213233330
524123400301
62435022300
7456400050
oct152475774
957530260
1027950076
1114860340
12943a990
135a37c0b
1439d7c60
1526c1786
hex1aa7bfc

27950076 has 96 divisors (see below), whose sum is σ = 90370560. Its totient is φ = 7257600.

The previous prime is 27950071. The next prime is 27950077. The reversal of 27950076 is 67005972.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27950076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27950071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6636 + ... + 9996.

It is an arithmetic number, because the mean of its divisors is an integer number (941360).

Almost surely, 227950076 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 27950076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45185280).

27950076 is an abundant number, since it is smaller than the sum of its proper divisors (62420484).

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

27950076 is a wasteful number, since it uses less digits than its factorization.

27950076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3392 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 27950076 is about 5286.7831428951. The cubic root of 27950076 is about 303.4783152146.

It can be divided in two parts, 2 and 7950076, that added together give a triangular number (7950078 = T3987).

The spelling of 27950076 in words is "twenty-seven million, nine hundred fifty thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 3361 4158 6722 8316 10083 13444 20166 23527 30249 36971 40332 47054 60498 70581 73942 90747 94108 110913 120996 141162 147884 181494 211743 221826 258797 282324 332739 362988 423486 443652 517594 635229 665478 776391 846972 998217 1035188 1270458 1330956 1552782 1996434 2329173 2540916 3105564 3992868 4658346 6987519 9316692 13975038 27950076