Search a number
-
+
26132988 = 2237595273
BaseRepresentation
bin110001110110…
…0000111111100
31211011200201110
41203230013330
523142223423
62332042020
7435061320
oct143540774
954150643
1026132988
111382a112
128903310
13554cb0b
143683980
152463193
hex18ec1fc

26132988 has 48 divisors (see below), whose sum is σ = 70882560. Its totient is φ = 7338624.

The previous prime is 26132971. The next prime is 26132993. The reversal of 26132988 is 88923162.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2320 + ... + 7592.

It is an arithmetic number, because the mean of its divisors is an integer number (1476720).

Almost surely, 226132988 is an apocalyptic number.

26132988 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26132988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35441280).

26132988 is an abundant number, since it is smaller than the sum of its proper divisors (44749572).

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

26132988 is a wasteful number, since it uses less digits than its factorization.

26132988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346 (or 5344 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 26132988 is about 5112.0434270456. The cubic root of 26132988 is about 296.7538460840.

The spelling of 26132988 in words is "twenty-six million, one hundred thirty-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2478 4956 5273 10546 15819 21092 31638 36911 63276 73822 110733 147644 221466 311107 442932 622214 933321 1244428 1866642 2177749 3733284 4355498 6533247 8710996 13066494 26132988