Search a number
-
+
26070048 = 2532131691
BaseRepresentation
bin110001101110…
…0110000100000
31211001111101100
41203130300200
523133220143
62330434400
7434406654
oct143346040
954044340
1026070048
11137968a4
128892a00
13552a284
143668a64
15244e6d3
hex18dcc20

26070048 has 72 divisors (see below), whose sum is σ = 74810736. Its totient is φ = 8611200.

The previous prime is 26070041. The next prime is 26070049. The reversal of 26070048 is 84007062.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (26070041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37383 + ... + 38073.

It is an arithmetic number, because the mean of its divisors is an integer number (1039038).

Almost surely, 226070048 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 26070048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37405368).

26070048 is an abundant number, since it is smaller than the sum of its proper divisors (48740688).

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

26070048 is a wasteful number, since it uses less digits than its factorization.

26070048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 26070048 is about 5105.8836649497. The cubic root of 26070048 is about 296.5154156128.

The spelling of 26070048 in words is "twenty-six million, seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 131 144 262 288 393 524 691 786 1048 1179 1382 1572 2073 2096 2358 2764 3144 4146 4192 4716 5528 6219 6288 8292 9432 11056 12438 12576 16584 18864 22112 24876 33168 37728 49752 66336 90521 99504 181042 199008 271563 362084 543126 724168 814689 1086252 1448336 1629378 2172504 2896672 3258756 4345008 6517512 8690016 13035024 26070048