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26420992 = 281317467
BaseRepresentation
bin110010011001…
…0011100000000
31211201022210021
41210302130000
523230432432
62342143224
7440401063
oct144623400
954638707
1026420992
1113a06534
128a21b14
135620c30
14371a8da
1524bd697
hex1932700

26420992 has 72 divisors (see below), whose sum is σ = 60265296. Its totient is φ = 11452416.

The previous prime is 26420987. The next prime is 26420993. The reversal of 26420992 is 29902462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26420993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56343 + ... + 56809.

It is an arithmetic number, because the mean of its divisors is an integer number (837018).

Almost surely, 226420992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26420992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30132648).

26420992 is an abundant number, since it is smaller than the sum of its proper divisors (33844304).

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

26420992 is a wasteful number, since it uses less digits than its factorization.

26420992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 26420992 is about 5140.1354067768. The cubic root of 26420992 is about 297.8400114145.

The spelling of 26420992 in words is "twenty-six million, four hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 467 544 832 884 934 1088 1664 1768 1868 2176 3328 3536 3736 4352 6071 7072 7472 7939 12142 14144 14944 15878 24284 28288 29888 31756 48568 56576 59776 63512 97136 103207 119552 127024 194272 206414 254048 388544 412828 508096 777088 825656 1016192 1554176 1651312 2032384 3302624 6605248 13210496 26420992