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26553096 = 233629157
BaseRepresentation
bin110010101001…
…0101100001000
31211222001000000
41211102230020
523244144341
62345043000
7441461163
oct145225410
954861000
1026553096
1113a96809
128a86460
1356690bb
143752ada
1524e78b6
hex1952b08

26553096 has 112 divisors (see below), whose sum is σ = 77712300. Its totient is φ = 8491392.

The previous prime is 26553083. The next prime is 26553097. The reversal of 26553096 is 69035562.

It can be written as a sum of positive squares in 2 ways, for example, as 26316900 + 236196 = 5130^2 + 486^2 .

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 26553096.

It is not an unprimeable number, because it can be changed into a prime (26553097) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 169050 + ... + 169206.

Almost surely, 226553096 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 26553096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38856150).

26553096 is an abundant number, since it is smaller than the sum of its proper divisors (51159204).

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

26553096 is a wasteful number, since it uses less digits than its factorization.

26553096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 26553096 is about 5152.9696292526. The cubic root of 26553096 is about 298.3355827953.

It can be divided in two parts, 265 and 53096, that added together give a square (53361 = 2312).

The spelling of 26553096 in words is "twenty-six million, five hundred fifty-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 157 162 174 216 232 243 261 314 324 348 471 486 522 628 648 696 729 783 942 972 1044 1256 1413 1458 1566 1884 1944 2088 2349 2826 2916 3132 3768 4239 4553 4698 5652 5832 6264 7047 8478 9106 9396 11304 12717 13659 14094 16956 18212 18792 21141 25434 27318 28188 33912 36424 38151 40977 42282 50868 54636 56376 76302 81954 84564 101736 109272 114453 122931 152604 163908 169128 228906 245862 305208 327816 368793 457812 491724 737586 915624 983448 1106379 1475172 2212758 2950344 3319137 4425516 6638274 8851032 13276548 26553096