Search a number
-
+
98006144 = 27765673
BaseRepresentation
bin1011101011101…
…11010010000000
320211102020011012
411311313102000
5200042144034
613420340052
72300016125
oct565672200
9224366135
1098006144
115035a515
12289a4628
13173c6102
14d03274c
15890dcce
hex5d77480

98006144 has 16 divisors (see below), whose sum is σ = 195246870. Its totient is φ = 49003008.

The previous prime is 98006093. The next prime is 98006147. The reversal of 98006144 is 44160089.

It can be written as a sum of positive squares in only one way, i.e., 78996544 + 19009600 = 8888^2 + 4360^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 98006144.

It is not an unprimeable number, because it can be changed into a prime (98006147) 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 as a sum of consecutive naturals, namely, 382709 + ... + 382964.

Almost surely, 298006144 is an apocalyptic number.

It is an amenable number.

98006144 is a deficient number, since it is larger than the sum of its proper divisors (97240726).

98006144 is an equidigital number, since it uses as much as digits as its factorization.

98006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765687 (or 765675 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 98006144 is about 9899.8052506097. The cubic root of 98006144 is about 461.0532638754.

The spelling of 98006144 in words is "ninety-eight million, six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 765673 1531346 3062692 6125384 12250768 24501536 49003072 98006144