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97596268 = 22711232599
BaseRepresentation
bin1011101000100…
…11001101101100
320210122101220121
411310103031230
5144441040033
613403454324
72263361140
oct564231554
9223571817
1097596268
11500aa580
12288273a4
13172b1693
14cd67220
15887c62d
hex5d1336c

97596268 has 72 divisors (see below), whose sum is σ = 222969600. Its totient is φ = 36310560.

The previous prime is 97596263. The next prime is 97596307. The reversal of 97596268 is 86269579.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (97596263) 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, 162633 + ... + 163231.

It is an arithmetic number, because the mean of its divisors is an integer number (3096800).

Almost surely, 297596268 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 97596268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111484800).

97596268 is an abundant number, since it is smaller than the sum of its proper divisors (125373332).

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

97596268 is a wasteful number, since it uses less digits than its factorization.

97596268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 642 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 52.

The square root of 97596268 is about 9879.0823460481. The cubic root of 97596268 is about 460.4096351071.

The spelling of 97596268 in words is "ninety-seven million, five hundred ninety-six thousand, two hundred sixty-eight".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 529 599 644 1012 1058 1198 1771 2116 2396 3542 3703 4193 5819 6589 7084 7406 8386 11638 13178 13777 14812 16772 23276 26356 27554 40733 46123 55108 81466 92246 96439 151547 162932 184492 192878 303094 316871 385756 606188 633742 1060829 1267484 2121658 2218097 3485581 4243316 4436194 6971162 8872388 13942324 24399067 48798134 97596268