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26480016 = 24321729373
BaseRepresentation
bin110010100000…
…0110110010000
31211211022202100
41211000312100
523234330031
62343320400
7441035133
oct145006620
954738670
1026480016
1113a46912
128a50100
135641a64
14373421a
1524d0de6
hex1940d90

26480016 has 120 divisors (see below), whose sum is σ = 81389880. Its totient is φ = 7999488.

The previous prime is 26480011. The next prime is 26480017. The reversal of 26480016 is 61008462.

26480016 is a `hidden beast` number, since 2 + 648 + 0 + 0 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7817616 + 18662400 = 2796^2 + 4320^2 .

It is not an unprimeable number, because it can be changed into a prime (26480011) 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, 70806 + ... + 71178.

It is an arithmetic number, because the mean of its divisors is an integer number (678249).

Almost surely, 226480016 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 26480016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40694940).

26480016 is an abundant number, since it is smaller than the sum of its proper divisors (54909864).

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

26480016 is a wasteful number, since it uses less digits than its factorization.

26480016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 26480016 is about 5145.8736867514. The cubic root of 26480016 is about 298.0616361254.

Adding to 26480016 its reverse (61008462), we get a palindrome (87488478).

The spelling of 26480016 in words is "twenty-six million, four hundred eighty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 34 36 48 51 58 68 72 87 102 116 136 144 153 174 204 232 261 272 306 348 373 408 464 493 522 612 696 746 816 986 1044 1119 1224 1392 1479 1492 1972 2088 2238 2448 2958 2984 3357 3944 4176 4437 4476 5916 5968 6341 6714 7888 8874 8952 10817 11832 12682 13428 17748 17904 19023 21634 23664 25364 26856 32451 35496 38046 43268 50728 53712 57069 64902 70992 76092 86536 97353 101456 114138 129804 152184 173072 183889 194706 228276 259608 304368 367778 389412 456552 519216 551667 735556 778824 913104 1103334 1471112 1557648 1655001 2206668 2942224 3310002 4413336 6620004 8826672 13240008 26480016