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83224896 = 2632914947
BaseRepresentation
bin1001111010111…
…10100101000000
312210121021002120
410331132211000
5132301144041
612131444240
72030254116
oct475364500
9183537076
1083224896
1142a84107
1223a56680
131431c201
14b0a5ab6
15748e366
hex4f5e940

83224896 has 56 divisors (see below), whose sum is σ = 227807520. Its totient is φ = 26783232.

The previous prime is 83224859. The next prime is 83224907. The reversal of 83224896 is 69842238.

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, 1906 + ... + 13041.

Almost surely, 283224896 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 83224896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113903760).

83224896 is an abundant number, since it is smaller than the sum of its proper divisors (144582624).

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

83224896 is a wasteful number, since it uses less digits than its factorization.

83224896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14991 (or 14981 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 83224896 is about 9122.7680009962. The cubic root of 83224896 is about 436.6006926595.

The spelling of 83224896 in words is "eighty-three million, two hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 14947 29894 44841 59788 89682 119576 179364 239152 358728 433463 478304 717456 866926 956608 1300389 1434912 1733852 2600778 2869824 3467704 5201556 6935408 10403112 13870816 20806224 27741632 41612448 83224896