Search a number
-
+
26021968 = 2471779173
BaseRepresentation
bin110001101000…
…1000001010000
31210222001102121
41203101001100
523130200333
62325424024
7434116540
oct143210120
953861377
1026021968
1113763765
12886b014
13551141b
143655320
15244032d
hex18d1050

26021968 has 80 divisors (see below), whose sum is σ = 62138880. Its totient is φ = 10303488.

The previous prime is 26021959. The next prime is 26021969. The reversal of 26021968 is 86912062.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26021969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150330 + ... + 150502.

It is an arithmetic number, because the mean of its divisors is an integer number (776736).

Almost surely, 226021968 is an apocalyptic number.

26021968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26021968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31069440).

26021968 is an abundant number, since it is smaller than the sum of its proper divisors (36116912).

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

26021968 is a wasteful number, since it uses less digits than its factorization.

26021968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 26021968 is about 5101.1731983927. The cubic root of 26021968 is about 296.3330193959. Note that the first 3 decimals are identical.

The spelling of 26021968 in words is "twenty-six million, twenty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 79 112 119 136 158 173 238 272 316 346 476 553 632 692 952 1106 1211 1264 1343 1384 1904 2212 2422 2686 2768 2941 4424 4844 5372 5882 8848 9401 9688 10744 11764 13667 18802 19376 20587 21488 23528 27334 37604 41174 47056 54668 75208 82348 95669 109336 150416 164696 191338 218672 232339 329392 382676 464678 765352 929356 1530704 1626373 1858712 3252746 3717424 6505492 13010984 26021968