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26399142 = 2337211907
BaseRepresentation
bin110010010110…
…1000110100110
31211200012211000
41210231012212
523224233032
62341454130
7440250300
oct144550646
954605730
1026399142
11139a1080
128a11346
135613cc3
143712970
1524b6e7c
hex192d1a6

26399142 has 96 divisors (see below), whose sum is σ = 74528640. Its totient is φ = 6849360.

The previous prime is 26399129. The next prime is 26399159. The reversal of 26399142 is 24199362.

26399142 is a `hidden beast` number, since 2 + 639 + 9 + 14 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26399097 and 26399106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28653 + ... + 29559.

It is an arithmetic number, because the mean of its divisors is an integer number (776340).

Almost surely, 226399142 is an apocalyptic number.

26399142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26399142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37264320).

26399142 is an abundant number, since it is smaller than the sum of its proper divisors (48129498).

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

26399142 is a wasteful number, since it uses less digits than its factorization.

26399142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 930 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 26399142 is about 5138.0095367759. The cubic root of 26399142 is about 297.7578848105.

It can be divided in two parts, 2639 and 9142, that added together give a triangular number (11781 = T153).

The spelling of 26399142 in words is "twenty-six million, three hundred ninety-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 126 147 154 189 198 231 294 297 378 441 462 539 594 693 882 907 1078 1323 1386 1617 1814 2079 2646 2721 3234 4158 4851 5442 6349 8163 9702 9977 12698 14553 16326 19047 19954 24489 29106 29931 38094 44443 48978 57141 59862 69839 88886 89793 114282 133329 139678 171423 179586 209517 266658 269379 342846 399987 419034 488873 538758 628551 799974 977746 1199961 1257102 1466619 1885653 2399922 2933238 3771306 4399857 8799714 13199571 26399142