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83196192 = 2536114207
BaseRepresentation
bin1001111010101…
…11100100100000
312210112210201110
410331113210200
5132244234232
612131103320
72030104332
oct475274440
9183483643
1083196192
1142a64592
1223a41b40
131430c121
14b099452
157485acc
hex4f57920

83196192 has 48 divisors (see below), whose sum is σ = 221985792. Its totient is φ = 27275520.

The previous prime is 83196173. The next prime is 83196203. The reversal of 83196192 is 29169138.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 83196192.

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, 1248 + ... + 12959.

It is an arithmetic number, because the mean of its divisors is an integer number (4624704).

Almost surely, 283196192 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 83196192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110992896).

83196192 is an abundant number, since it is smaller than the sum of its proper divisors (138789600).

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

83196192 is a wasteful number, since it uses less digits than its factorization.

83196192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14281 (or 14273 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 83196192 is about 9121.1946585960. The cubic root of 83196192 is about 436.5504928278.

The spelling of 83196192 in words is "eighty-three million, one hundred ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 14207 28414 42621 56828 85242 113656 170484 227312 340968 454624 681936 866627 1363872 1733254 2599881 3466508 5199762 6933016 10399524 13866032 20799048 27732064 41598096 83196192