Search a number
-
+
26303264 = 2513531193
BaseRepresentation
bin110010001010…
…1101100100000
31211111100021222
41210111230200
523213201024
62335434212
7436400621
oct144255440
954440258
1026303264
1113936039
128985968
1355ac480
1436c9a48
15249885e
hex1915b20

26303264 has 48 divisors (see below), whose sum is σ = 56867832. Its totient is φ = 11900928.

The previous prime is 26303231. The next prime is 26303269. The reversal of 26303264 is 46230362.

It can be written as a sum of positive squares in 4 ways, for example, as 20976400 + 5326864 = 4580^2 + 2308^2 .

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

It is not an unprimeable number, because it can be changed into a prime (26303269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21452 + ... + 22644.

Almost surely, 226303264 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 26303264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28433916).

26303264 is an abundant number, since it is smaller than the sum of its proper divisors (30564568).

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

26303264 is a wasteful number, since it uses less digits than its factorization.

26303264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 26303264 is about 5128.6707829612. The cubic root of 26303264 is about 297.3969758374.

It can be divided in two parts, 26 and 303264, that multiplied together give a square (7884864 = 28082).

The spelling of 26303264 in words is "twenty-six million, three hundred three thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 53 104 106 208 212 416 424 689 848 1193 1378 1696 2386 2756 4772 5512 9544 11024 15509 19088 22048 31018 38176 62036 63229 124072 126458 248144 252916 496288 505832 821977 1011664 1643954 2023328 3287908 6575816 13151632 26303264