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83943468 = 223272232069
BaseRepresentation
bin1010000000011…
…10000000101100
312211221202210100
411000032000230
5132442142333
612155111100
72036336100
oct500160054
9184852710
1083943468
1143424a74
1224142490
13145112bb
14b211900
157582213
hex500e02c

83943468 has 108 divisors (see below), whose sum is σ = 257690160. Its totient is φ = 22929984.

The previous prime is 83943451. The next prime is 83943469. The reversal of 83943468 is 86434938.

It is not an unprimeable number, because it can be changed into a prime (83943469) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39538 + ... + 41606.

It is an arithmetic number, because the mean of its divisors is an integer number (2386020).

Almost surely, 283943468 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 83943468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128845080).

83943468 is an abundant number, since it is smaller than the sum of its proper divisors (173746692).

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

83943468 is a wasteful number, since it uses less digits than its factorization.

83943468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116 (or 2104 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 83943468 is about 9162.0667973989. The cubic root of 83943468 is about 437.8536447277.

The spelling of 83943468 in words is "eighty-three million, nine hundred forty-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 49 63 69 84 92 98 126 138 147 161 196 207 252 276 294 322 414 441 483 588 644 828 882 966 1127 1449 1764 1932 2069 2254 2898 3381 4138 4508 5796 6207 6762 8276 10143 12414 13524 14483 18621 20286 24828 28966 37242 40572 43449 47587 57932 74484 86898 95174 101381 130347 142761 173796 190348 202762 260694 285522 304143 333109 405524 428283 521388 571044 608286 666218 856566 912429 999327 1216572 1332436 1713132 1824858 1998654 2331763 2997981 3649716 3997308 4663526 5995962 6995289 9327052 11991924 13990578 20985867 27981156 41971734 83943468