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83839296 = 263835261
BaseRepresentation
bin1001111111101…
…00100101000000
312211202110220010
410333310211000
5132430324141
612152544520
72035423302
oct477644500
9184673803
1083839296
1143363782
12240b2140
13144a5a68
14b1c5972
157561416
hex4ff4940

83839296 has 56 divisors (see below), whose sum is σ = 224540064. Its totient is φ = 27604480.

The previous prime is 83839289. The next prime is 83839307. The reversal of 83839296 is 69293838.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13306 + ... + 18566.

It is an arithmetic number, because the mean of its divisors is an integer number (4009644).

Almost surely, 283839296 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 83839296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112270032).

83839296 is an abundant number, since it is smaller than the sum of its proper divisors (140700768).

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

83839296 is a wasteful number, since it uses less digits than its factorization.

83839296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359 (or 5349 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 83839296 is about 9156.3800707485. The cubic root of 83839296 is about 437.6724475012.

The spelling of 83839296 in words is "eighty-three million, eight hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 664 996 1328 1992 2656 3984 5261 5312 7968 10522 15783 15936 21044 31566 42088 63132 84176 126264 168352 252528 336704 436663 505056 873326 1010112 1309989 1746652 2619978 3493304 5239956 6986608 10479912 13973216 20959824 27946432 41919648 83839296