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26073216 = 2732131741
BaseRepresentation
bin110001101110…
…1100010000000
31211001122201200
41203131202000
523133320331
62330501200
7434422131
oct143354200
954048650
1026073216
1113799214
128894800
13552b850
143669c88
1524505e6
hex18dd880

26073216 has 96 divisors (see below), whose sum is σ = 80846220. Its totient is φ = 8017920.

The previous prime is 26073211. The next prime is 26073217. The reversal of 26073216 is 61237062.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18455616 + 7617600 = 4296^2 + 2760^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 26073216.

It is not an unprimeable number, because it can be changed into a prime (26073211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14106 + ... + 15846.

Almost surely, 226073216 is an apocalyptic number.

26073216 is a gapful number since it is divisible by the number (26) 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 26073216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40423110).

26073216 is an abundant number, since it is smaller than the sum of its proper divisors (54773004).

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

26073216 is a wasteful number, since it uses less digits than its factorization.

26073216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 26073216 is about 5106.1938858606. The cubic root of 26073216 is about 296.5274258552.

The spelling of 26073216 in words is "twenty-six million, seventy-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1741 1872 2496 3482 3744 4992 5223 6964 7488 10446 13928 14976 15669 20892 22633 27856 31338 41784 45266 55712 62676 67899 83568 90532 111424 125352 135798 167136 181064 203697 222848 250704 271596 334272 362128 407394 501408 543192 668544 724256 814788 1002816 1086384 1448512 1629576 2005632 2172768 2897024 3259152 4345536 6518304 8691072 13036608 26073216