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83453056 = 273767263
BaseRepresentation
bin1001111100101…
…10010010000000
312211000212001221
410332112102000
5132330444211
612140404424
72032224241
oct476262200
9184025057
1083453056
114311a575
1223b46714
131439c00b
14b124cc8
1574d6c71
hex4f96480

83453056 has 64 divisors (see below), whose sum is σ = 173954880. Its totient is φ = 39840768.

The previous prime is 83453047. The next prime is 83453087. The reversal of 83453056 is 65035438.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317181 + ... + 317443.

It is an arithmetic number, because the mean of its divisors is an integer number (2718045).

Almost surely, 283453056 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 83453056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86977440).

83453056 is an abundant number, since it is smaller than the sum of its proper divisors (90501824).

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

83453056 is a wasteful number, since it uses less digits than its factorization.

83453056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 83453056 is about 9135.2644187237. The cubic root of 83453056 is about 436.9993070418. Note that the first 3 decimals are identical.

The spelling of 83453056 in words is "eighty-three million, four hundred fifty-three thousand, fifty-six".

Divisors: 1 2 4 8 16 32 37 64 67 74 128 134 148 263 268 296 526 536 592 1052 1072 1184 2104 2144 2368 2479 4208 4288 4736 4958 8416 8576 9731 9916 16832 17621 19462 19832 33664 35242 38924 39664 70484 77848 79328 140968 155696 158656 281936 311392 317312 563872 622784 651977 1127744 1245568 1303954 2255488 2607908 5215816 10431632 20863264 41726528 83453056