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109839488 = 2711181431
BaseRepresentation
bin1101000110000…
…00010010000000
321122200102110012
412203000102000
5211104330423
614522124052
72502422513
oct643002200
9248612405
10109839488
1157002040
1230950628
13199aa2a5
1410832d7a
15999a078
hex68c0480

109839488 has 64 divisors (see below), whose sum is σ = 240589440. Its totient is φ = 49536000.

The previous prime is 109839481. The next prime is 109839491. The reversal of 109839488 is 884938901.

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

It is not an unprimeable number, because it can be changed into a prime (109839481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254633 + ... + 255063.

It is an arithmetic number, because the mean of its divisors is an integer number (3759210).

Almost surely, 2109839488 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 109839488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

109839488 is an abundant number, since it is smaller than the sum of its proper divisors (130749952).

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

109839488 is a wasteful number, since it uses less digits than its factorization.

109839488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 50.

The square root of 109839488 is about 10480.4335788172. The cubic root of 109839488 is about 478.9088175947.

The spelling of 109839488 in words is "one hundred nine million, eight hundred thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 181 352 362 431 704 724 862 1408 1448 1724 1991 2896 3448 3982 4741 5792 6896 7964 9482 11584 13792 15928 18964 23168 27584 31856 37928 55168 63712 75856 78011 127424 151712 156022 254848 303424 312044 606848 624088 858121 1248176 1716242 2496352 3432484 4992704 6864968 9985408 13729936 27459872 54919744 109839488