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26401312 = 257432741
BaseRepresentation
bin110010010110…
…1101000100000
31211200022210101
41210231220200
523224320222
62341512144
7440256520
oct144555040
954608711
1026401312
11139a2773
128a12654
135614ca2
143713680
1524b7927
hex192da20

26401312 has 48 divisors (see below), whose sum is σ = 60806592. Its totient is φ = 11047680.

The previous prime is 26401303. The next prime is 26401337. The reversal of 26401312 is 21310462.

It is a self number, because there is not a number n which added to its sum of digits gives 26401312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8262 + ... + 11002.

It is an arithmetic number, because the mean of its divisors is an integer number (1266804).

Almost surely, 226401312 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 26401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30403296).

26401312 is an abundant number, since it is smaller than the sum of its proper divisors (34405280).

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

26401312 is a wasteful number, since it uses less digits than its factorization.

26401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 26401312 is about 5138.2207037067. The cubic root of 26401312 is about 297.7660431174.

Adding to 26401312 its reverse (21310462), we get a palindrome (47711774).

The spelling of 26401312 in words is "twenty-six million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 2741 4816 5482 9632 10964 19187 21928 38374 43856 76748 87712 117863 153496 235726 306992 471452 613984 825041 942904 1650082 1885808 3300164 3771616 6600328 13200656 26401312