Search a number
-
+
26218242 = 23573739
BaseRepresentation
bin110010000000…
…0111100000010
31211100000200000
41210000330002
523202440432
62333540430
7435565011
oct144007402
954300600
1026218242
1113888176
128944716
13557c86b
1436a6a78
15247d57c
hex1900f02

26218242 has 48 divisors (see below), whose sum is σ = 59797920. Its totient is φ = 8608032.

The previous prime is 26218223. The next prime is 26218249. The reversal of 26218242 is 24281262.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26218249) 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, 35109 + ... + 35847.

It is an arithmetic number, because the mean of its divisors is an integer number (1245790).

Almost surely, 226218242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26218242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29898960).

26218242 is an abundant number, since it is smaller than the sum of its proper divisors (33579678).

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

26218242 is an equidigital number, since it uses as much as digits as its factorization.

26218242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 817 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 26218242 is about 5120.3751815663. The cubic root of 26218242 is about 297.0761971621.

The spelling of 26218242 in words is "twenty-six million, two hundred eighteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 243 438 486 657 739 1314 1478 1971 2217 3942 4434 5913 6651 11826 13302 17739 19953 35478 39906 53947 59859 107894 119718 161841 179577 323682 359154 485523 971046 1456569 2913138 4369707 8739414 13109121 26218242