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83483112 = 233192959107
BaseRepresentation
bin1001111100111…
…01100111101000
312211002101022010
410332131213220
5132332424422
612141155520
72032410666
oct476354750
9184071263
1083483112
1143140109
1223b5bba0
13143ac8bb
14b131c36
1574e0b0c
hex4f9d9e8

83483112 has 128 divisors (see below), whose sum is σ = 233280000. Its totient is φ = 24788736.

The previous prime is 83483089. The next prime is 83483117. The reversal of 83483112 is 21138438.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 83483112.

It is not an unprimeable number, because it can be changed into a prime (83483117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 780163 + ... + 780269.

It is an arithmetic number, because the mean of its divisors is an integer number (1822500).

Almost surely, 283483112 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 83483112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116640000).

83483112 is an abundant number, since it is smaller than the sum of its proper divisors (149796888).

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

83483112 is a wasteful number, since it uses less digits than its factorization.

83483112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 219 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 83483112 is about 9136.9093242737. The cubic root of 83483112 is about 437.0517631782.

The spelling of 83483112 in words is "eighty-three million, four hundred eighty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 29 38 57 58 59 76 87 107 114 116 118 152 174 177 214 228 232 236 321 348 354 428 456 472 551 642 696 708 856 1102 1121 1284 1416 1653 1711 2033 2204 2242 2568 3103 3306 3363 3422 4066 4408 4484 5133 6099 6206 6313 6612 6726 6844 8132 8968 9309 10266 12198 12412 12626 13224 13452 13688 16264 18618 18939 20532 24396 24824 25252 26904 32509 37236 37878 41064 48792 50504 58957 65018 74472 75756 97527 117914 119947 130036 151512 176871 183077 195054 235828 239894 260072 353742 359841 366154 390108 471656 479788 549231 707484 719682 732308 780216 959576 1098462 1414968 1439364 1464616 2196924 2878728 3478463 4393848 6956926 10435389 13913852 20870778 27827704 41741556 83483112