Search a number
-
+
26208480 = 253554601
BaseRepresentation
bin110001111111…
…0100011100000
31211022112021110
41203332203200
523202132410
62333423320
7435524364
oct143764340
954275243
1026208480
1113880901
12893ab40
13557829c
1436a32a4
15247a720
hex18fe8e0

26208480 has 48 divisors (see below), whose sum is σ = 82558224. Its totient is φ = 6988800.

The previous prime is 26208461. The next prime is 26208503. The reversal of 26208480 is 8480262.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26821 + ... + 27780.

It is an arithmetic number, because the mean of its divisors is an integer number (1719963).

Almost surely, 226208480 is an apocalyptic number.

26208480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26208480 is an abundant number, since it is smaller than the sum of its proper divisors (56349744).

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

26208480 is a wasteful number, since it uses less digits than its factorization.

26208480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54619 (or 54611 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 26208480 is about 5119.4218423568. The cubic root of 26208480 is about 297.0393218465.

The spelling of 26208480 in words is "twenty-six million, two hundred eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 54601 109202 163803 218404 273005 327606 436808 546010 655212 819015 873616 1092020 1310424 1638030 1747232 2184040 2620848 3276060 4368080 5241696 6552120 8736160 13104240 26208480