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26038968 = 23317193359
BaseRepresentation
bin110001101010…
…1001010111000
31210222220202020
41203111022320
523131221333
62330034440
7434220234
oct143251270
953886666
1026038968
111377550a
128878a20
135519097
14365b5c4
1524453b3
hex18d52b8

26038968 has 64 divisors (see below), whose sum is σ = 72576000. Its totient is φ = 7736832.

The previous prime is 26038963. The next prime is 26038973. The reversal of 26038968 is 86983062.

It is an interprime number because it is at equal distance from previous prime (26038963) and next prime (26038973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26038963) 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, 6073 + ... + 9431.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 226038968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26038968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

26038968 is an abundant number, since it is smaller than the sum of its proper divisors (46537032).

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

26038968 is a wasteful number, since it uses less digits than its factorization.

26038968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3404 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 26038968 is about 5102.8392096949. The cubic root of 26038968 is about 296.3975362264.

The spelling of 26038968 in words is "twenty-six million, thirty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1938 2584 3359 3876 6718 7752 10077 13436 20154 26872 40308 57103 63821 80616 114206 127642 171309 191463 228412 255284 342618 382926 456824 510568 685236 765852 1084957 1370472 1531704 2169914 3254871 4339828 6509742 8679656 13019484 26038968