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26361072 = 2433139439
BaseRepresentation
bin110010010001…
…1110011110000
31211121021121000
41210203303300
523222023242
62341002000
7440031303
oct144436360
954537530
1026361072
1113975511
1289b3300
1355cc88a
143702b3a
1524aaa4c
hex1923cf0

26361072 has 80 divisors (see below), whose sum is σ = 76384000. Its totient is φ = 8703936.

The previous prime is 26361061. The next prime is 26361077. The reversal of 26361072 is 27016362.

It is a happy number.

It is a super-2 number, since 2×263610722 = 1389812233978368, which contains 22 as substring.

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 (26361077) 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, 59829 + ... + 60267.

It is an arithmetic number, because the mean of its divisors is an integer number (954800).

Almost surely, 226361072 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 26361072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38192000).

26361072 is an abundant number, since it is smaller than the sum of its proper divisors (50022928).

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

26361072 is a wasteful number, since it uses less digits than its factorization.

26361072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 26361072 is about 5134.3034581139. The cubic root of 26361072 is about 297.6146844991.

The spelling of 26361072 in words is "twenty-six million, three hundred sixty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 139 144 216 278 417 432 439 556 834 878 1112 1251 1317 1668 1756 2224 2502 2634 3336 3512 3753 3951 5004 5268 6672 7024 7506 7902 10008 10536 11853 15012 15804 20016 21072 23706 30024 31608 47412 60048 61021 63216 94824 122042 183063 189648 244084 366126 488168 549189 732252 976336 1098378 1464504 1647567 2196756 2929008 3295134 4393512 6590268 8787024 13180536 26361072