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8233056 = 253313733
BaseRepresentation
bin11111011010000001100000
3120111021122000
4133122001200
54101424211
6452244000
7126660036
oct37320140
916437560
108233056
114713687
122910600
131923540
141144556
15ac9656
hex7da060

8233056 has 96 divisors (see below), whose sum is σ = 25895520. Its totient is φ = 2529792.

The previous prime is 8233039. The next prime is 8233091. The reversal of 8233056 is 6503328.

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

It is a super-2 number, since 2×82330562 = 135566422198272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10866 + ... + 11598.

It is an arithmetic number, because the mean of its divisors is an integer number (269745).

Almost surely, 28233056 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 8233056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12947760).

8233056 is an abundant number, since it is smaller than the sum of its proper divisors (17662464).

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

8233056 is a wasteful number, since it uses less digits than its factorization.

8233056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 8233056 is about 2869.3302354382. The cubic root of 8233056 is about 201.9235733489.

The spelling of 8233056 in words is "eight million, two hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 733 864 936 1248 1404 1466 1872 2199 2808 2932 3744 4398 5616 5864 6597 8796 9529 11232 11728 13194 17592 19058 19791 23456 26388 28587 35184 38116 39582 52776 57174 70368 76232 79164 85761 105552 114348 152464 158328 171522 211104 228696 257283 304928 316656 343044 457392 514566 633312 686088 914784 1029132 1372176 2058264 2744352 4116528 8233056