Search a number
-
+
26148880 = 2453111051
BaseRepresentation
bin110001111000…
…0000000010000
31211012111112001
41203300000100
523143231010
62332243344
7435155542
oct143600020
954174461
1026148880
111384004a
128910554
135557114
143689692
152467c3a
hex18f0010

26148880 has 40 divisors (see below), whose sum is σ = 61049664. Its totient is φ = 10416000.

The previous prime is 26148877. The next prime is 26148937. The reversal of 26148880 is 8884162.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24355 + ... + 25405.

Almost surely, 226148880 is an apocalyptic number.

26148880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26148880 is an abundant number, since it is smaller than the sum of its proper divisors (34900784).

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

26148880 is a wasteful number, since it uses less digits than its factorization.

26148880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 26148880 is about 5113.5975594487. The cubic root of 26148880 is about 296.8139879052.

Adding to 26148880 its product of nonzero digits (24576), we get a square (26173456 = 51162).

It can be divided in two parts, 26148 and 880, that added together give a triangular number (27028 = T232).

The spelling of 26148880 in words is "twenty-six million, one hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 311 622 1051 1244 1555 2102 2488 3110 4204 4976 5255 6220 8408 10510 12440 16816 21020 24880 42040 84080 326861 653722 1307444 1634305 2614888 3268610 5229776 6537220 13074440 26148880