Search a number
-
+
26025840 = 2433512049
BaseRepresentation
bin110001101000…
…1111101110000
31210222020202000
41203101331300
523130311330
62325454000
7434134041
oct143217560
953866660
1026025840
1113766665
128871300
135513109
1436568c8
152441560
hex18d1f70

26025840 has 80 divisors (see below), whose sum is σ = 89652000. Its totient is φ = 6939648.

The previous prime is 26025823. The next prime is 26025841. The reversal of 26025840 is 4852062.

26025840 is a `hidden beast` number, since 2 + 602 + 58 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26025841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3865 + ... + 8184.

It is an arithmetic number, because the mean of its divisors is an integer number (1120650).

Almost surely, 226025840 is an apocalyptic number.

26025840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26025840 is an abundant number, since it is smaller than the sum of its proper divisors (63626160).

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

26025840 is a wasteful number, since it uses less digits than its factorization.

26025840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12071 (or 12059 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 26025840 is about 5101.5527048145. The cubic root of 26025840 is about 296.3477165234.

Subtracting from 26025840 its reverse (4852062), we obtain a triangular number (21173778 = T6507).

The spelling of 26025840 in words is "twenty-six million, twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 12049 24098 36147 48196 60245 72294 96392 108441 120490 144588 180735 192784 216882 240980 289176 325323 361470 433764 481960 542205 578352 650646 722940 867528 963920 1084410 1301292 1445880 1626615 1735056 2168820 2602584 2891760 3253230 4337640 5205168 6506460 8675280 13012920 26025840