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108424784 = 2413895857
BaseRepresentation
bin1100111011001…
…10111001010000
321120000112211202
412131212321100
5210224043114
614431530332
72454411146
oct635467120
9246015752
10108424784
1156226166
12303899a8
13196033a0
1410585596
1597bacde
hex6766e50

108424784 has 40 divisors (see below), whose sum is σ = 228813480. Its totient is φ = 49471488.

The previous prime is 108424781. The next prime is 108424879. The reversal of 108424784 is 487424801.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9859600 + 98565184 = 3140^2 + 9928^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108424781) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15584 + ... + 21440.

It is an arithmetic number, because the mean of its divisors is an integer number (5720337).

Almost surely, 2108424784 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 108424784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114406740).

108424784 is an abundant number, since it is smaller than the sum of its proper divisors (120388696).

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

108424784 is a wasteful number, since it uses less digits than its factorization.

108424784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5967 (or 5961 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 38.

The square root of 108424784 is about 10412.7222185171. The cubic root of 108424784 is about 476.8438530376.

The spelling of 108424784 in words is "one hundred eight million, four hundred twenty-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 89 104 178 208 356 712 1157 1424 2314 4628 5857 9256 11714 18512 23428 46856 76141 93712 152282 304564 521273 609128 1042546 1218256 2085092 4170184 6776549 8340368 13553098 27106196 54212392 108424784