Search a number
-
+
26286520 = 2351350551
BaseRepresentation
bin110010001000…
…1100110111000
31211110111022211
41210101212320
523212132040
62335224504
7436301041
oct144214670
954414284
1026286520
11139244a7
128978134
1355a4970
1436c38c8
1524938ea
hex19119b8

26286520 has 32 divisors (see below), whose sum is σ = 63695520. Its totient is φ = 9705600.

The previous prime is 26286517. The next prime is 26286523. The reversal of 26286520 is 2568262.

It is an interprime number because it is at equal distance from previous prime (26286517) and next prime (26286523).

It is a super-2 number, since 2×262865202 = 1381962267420800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26286523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24756 + ... + 25795.

It is an arithmetic number, because the mean of its divisors is an integer number (1990485).

Almost surely, 226286520 is an apocalyptic number.

26286520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26286520 is an abundant number, since it is smaller than the sum of its proper divisors (37409000).

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

26286520 is a wasteful number, since it uses less digits than its factorization.

26286520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50575 (or 50571 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 26286520 is about 5127.0381313191. The cubic root of 26286520 is about 297.3338572833. Note that the first 3 decimals are identical.

The spelling of 26286520 in words is "twenty-six million, two hundred eighty-six thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 50551 101102 202204 252755 404408 505510 657163 1011020 1314326 2022040 2628652 3285815 5257304 6571630 13143260 26286520