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26001872 = 2413413049
BaseRepresentation
bin110001100110…
…0000111010000
31210221000212022
41203030013100
523124024442
62325151012
7434004131
oct143140720
953830768
1026001872
111374a656
12885b468
135505230
14364bc88
1524393d2
hex18cc1d0

26001872 has 40 divisors (see below), whose sum is σ = 55595400. Its totient is φ = 11704320.

The previous prime is 26001863. The next prime is 26001881. The reversal of 26001872 is 27810062.

It is an interprime number because it is at equal distance from previous prime (26001863) and next prime (26001881).

It can be written as a sum of positive squares in 4 ways, for example, as 2421136 + 23580736 = 1556^2 + 4856^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7004 + ... + 10052.

It is an arithmetic number, because the mean of its divisors is an integer number (1389885).

Almost surely, 226001872 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 26001872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27797700).

26001872 is an abundant number, since it is smaller than the sum of its proper divisors (29593528).

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

26001872 is a wasteful number, since it uses less digits than its factorization.

26001872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3111 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 26001872 is about 5099.2030749912. The cubic root of 26001872 is about 296.2567166607.

The spelling of 26001872 in words is "twenty-six million, one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1066 2132 3049 4264 6098 8528 12196 24392 39637 48784 79274 125009 158548 250018 317096 500036 634192 1000072 1625117 2000144 3250234 6500468 13000936 26001872