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26804988 = 22327176257
BaseRepresentation
bin110011001000…
…0001011111100
31212102211112100
41212100023330
523330224423
62354305100
7443560440
oct146201374
955384470
1026804988
1114148a91
128b88190
135726952
1437ba820
152547343
hex19902fc

26804988 has 72 divisors (see below), whose sum is σ = 82004832. Its totient is φ = 7206912.

The previous prime is 26804977. The next prime is 26804989. The reversal of 26804988 is 88940862.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26804989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1156 + ... + 7412.

It is an arithmetic number, because the mean of its divisors is an integer number (1138956).

Almost surely, 226804988 is an apocalyptic number.

26804988 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 26804988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41002416).

26804988 is an abundant number, since it is smaller than the sum of its proper divisors (55199844).

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

26804988 is a wasteful number, since it uses less digits than its factorization.

26804988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6291 (or 6286 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 26804988 is about 5177.3533779336. The cubic root of 26804988 is about 299.2759874249.

The spelling of 26804988 in words is "twenty-six million, eight hundred four thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 6257 12514 18771 25028 37542 43799 56313 75084 87598 106369 112626 131397 175196 212738 225252 262794 319107 394191 425476 525588 638214 744583 788382 957321 1276428 1489166 1576764 1914642 2233749 2978332 3829284 4467498 6701247 8934996 13402494 26804988