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26048680 = 2357313001
BaseRepresentation
bin110001101011…
…1100010101000
31211000102001221
41203113202220
523132024210
62330151424
7434260450
oct143274250
954012057
1026048680
1113781839
128882574
135520628
143660d60
1524481da
hex18d78a8

26048680 has 64 divisors (see below), whose sum is σ = 69166080. Its totient is φ = 8640000.

The previous prime is 26048657. The next prime is 26048683. The reversal of 26048680 is 8684062.

It is not an unprimeable number, because it can be changed into a prime (26048683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7180 + ... + 10180.

It is an arithmetic number, because the mean of its divisors is an integer number (1080720).

Almost surely, 226048680 is an apocalyptic number.

26048680 is a gapful number since it is divisible by the number (20) 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 26048680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34583040).

26048680 is an abundant number, since it is smaller than the sum of its proper divisors (43117400).

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

26048680 is a wasteful number, since it uses less digits than its factorization.

26048680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3050 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 26048680 is about 5103.7907480617. The cubic root of 26048680 is about 296.4343817094.

The spelling of 26048680 in words is "twenty-six million, forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 3001 4340 6002 8680 12004 15005 21007 24008 30010 42014 60020 84028 93031 105035 120040 168056 186062 210070 372124 420140 465155 651217 744248 840280 930310 1302434 1860620 2604868 3256085 3721240 5209736 6512170 13024340 26048680