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26506242 = 2327211997
BaseRepresentation
bin110010100011…
…1010000000010
31211212122201200
41211013100002
523241144432
62344042030
7441204450
oct145072002
954778650
1026506242
1113a64594
128a63316
135650989
14373d9d0
1524d8a7c
hex1947402

26506242 has 48 divisors (see below), whose sum is σ = 66011712. Its totient is φ = 7529760.

The previous prime is 26506241. The next prime is 26506243. The reversal of 26506242 is 24260562.

26506242 is a `hidden beast` number, since 2 + 650 + 6 + 2 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (26506241) and next prime (26506243).

It is not an unprimeable number, because it can be changed into a prime (26506241) 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, 26088 + ... + 27084.

It is an arithmetic number, because the mean of its divisors is an integer number (1375244).

Almost surely, 226506242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26506242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33005856).

26506242 is an abundant number, since it is smaller than the sum of its proper divisors (39505470).

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

26506242 is a wasteful number, since it uses less digits than its factorization.

26506242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 26506242 is about 5148.4213114313. The cubic root of 26506242 is about 298.1600044601.

The spelling of 26506242 in words is "twenty-six million, five hundred six thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 211 422 633 997 1266 1477 1899 1994 2954 2991 3798 4431 5982 6979 8862 8973 13293 13958 17946 20937 26586 41874 62811 125622 210367 420734 631101 1262202 1472569 1893303 2945138 3786606 4417707 8835414 13253121 26506242