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8097936 = 2437211313
BaseRepresentation
bin11110111001000010010000
3120020102021120
4132321002100
54033113221
6445322240
7125555100
oct36710220
916212246
108097936
114631110
122866380
1318a6ba2
14110b200
15a9e5c6
hex7b9090

8097936 has 120 divisors (see below), whose sum is σ = 26632224. Its totient is φ = 2096640.

The previous prime is 8097917. The next prime is 8097941. The reversal of 8097936 is 6397908.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25716 + ... + 26028.

Almost surely, 28097936 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 8097936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13316112).

8097936 is an abundant number, since it is smaller than the sum of its proper divisors (18534288).

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

8097936 is a wasteful number, since it uses less digits than its factorization.

8097936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 8097936 is about 2845.6872632108. The cubic root of 8097936 is about 200.8128254322.

The spelling of 8097936 in words is "eight million, ninety-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 313 336 392 462 528 539 588 616 626 784 924 939 1078 1176 1232 1252 1617 1848 1878 2156 2191 2352 2504 3234 3443 3696 3756 4312 4382 5008 6468 6573 6886 7512 8624 8764 10329 12936 13146 13772 15024 15337 17528 20658 24101 25872 26292 27544 30674 35056 41316 46011 48202 52584 55088 61348 72303 82632 92022 96404 105168 122696 144606 165264 168707 184044 192808 245392 289212 337414 368088 385616 506121 578424 674828 736176 1012242 1156848 1349656 2024484 2699312 4048968 8097936