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83252448 = 253432119
BaseRepresentation
bin1001111011001…
…01010011100000
312210122122220000
410331211103200
5132303034243
612132220000
72030430336
oct475452340
9183578800
1083252448
1142aa2884
1223a6a600
131432b906
14b0b1b56
1574975d3
hex4f654e0

83252448 has 60 divisors (see below), whose sum is σ = 244850760. Its totient is φ = 27749952.

The previous prime is 83252443. The next prime is 83252461. The reversal of 83252448 is 84425238.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83252443) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 13468 + ... + 18651.

It is an arithmetic number, because the mean of its divisors is an integer number (4080846).

Almost surely, 283252448 is an apocalyptic number.

It is an amenable number.

83252448 is an abundant number, since it is smaller than the sum of its proper divisors (161598312).

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

83252448 is a wasteful number, since it uses less digits than its factorization.

83252448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32141 (or 32124 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 83252448 is about 9124.2779440348. The cubic root of 83252448 is about 436.6488669265.

The spelling of 83252448 in words is "eighty-three million, two hundred fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 32119 64238 96357 128476 192714 256952 289071 385428 513904 578142 770856 867213 1027808 1156284 1541712 1734426 2312568 2601639 3083424 3468852 4625136 5203278 6937704 9250272 10406556 13875408 20813112 27750816 41626224 83252448