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26152056 = 23327192731
BaseRepresentation
bin110001111000…
…0110001111000
31211012122212200
41203300301320
523143331211
62332310200
7435201030
oct143606170
954178780
1026152056
1113842477
128912360
1355586b8
14368a8c0
152468b56
hex18f0c78

26152056 has 96 divisors (see below), whose sum is σ = 85238400. Its totient is φ = 7076160.

The previous prime is 26152051. The next prime is 26152111. The reversal of 26152056 is 65025162.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26152051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8211 + ... + 10941.

It is an arithmetic number, because the mean of its divisors is an integer number (887900).

Almost surely, 226152056 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 26152056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42619200).

26152056 is an abundant number, since it is smaller than the sum of its proper divisors (59086344).

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

26152056 is a wasteful number, since it uses less digits than its factorization.

26152056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 26152056 is about 5113.9080945985. The cubic root of 26152056 is about 296.8260042652.

The spelling of 26152056 in words is "twenty-six million, one hundred fifty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 56 57 63 72 76 84 114 126 133 152 168 171 228 252 266 342 399 456 504 532 684 798 1064 1197 1368 1596 2394 2731 3192 4788 5462 8193 9576 10924 16386 19117 21848 24579 32772 38234 49158 51889 57351 65544 76468 98316 103778 114702 152936 155667 172053 196632 207556 229404 311334 344106 363223 415112 458808 467001 622668 688212 726446 934002 1089669 1245336 1376424 1452892 1868004 2179338 2905784 3269007 3736008 4358676 6538014 8717352 13076028 26152056