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98863249 = 6121632
BaseRepresentation
bin1011110010010…
…00100010010001
320220000202212211
411321020202101
5200302110444
613450552121
72310216022
oct571104221
9226022784
1098863249
1150895471
1229138641
1317636284
14d1b6c49
158a2cc34
hex5e48891

98863249 has 9 divisors (see below), whose sum is σ = 101130939. Its totient is φ = 96645960.

The previous prime is 98863229. The next prime is 98863253. The reversal of 98863249 is 94236889.

The square root of 98863249 is 9943.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3214849 + 95648400 = 1793^2 + 9780^2 .

It is not a de Polignac number, because 98863249 - 25 = 98863217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98863229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 606442 + ... + 606604.

It is an arithmetic number, because the mean of its divisors is an integer number (11236771).

Almost surely, 298863249 is an apocalyptic number.

98863249 is the 9943-rd square number.

98863249 is the 4972-nd centered octagonal number.

It is an amenable number.

98863249 is a deficient number, since it is larger than the sum of its proper divisors (2267690).

98863249 is an frugal number, since it uses more digits than its factorization.

98863249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 224 counting only the distinct ones).

The product of its digits is 746496, while the sum is 49.

The cubic root of 98863249 is about 462.3933997319.

Multiplying 98863249 by its sum of digits (49), we get a square (4844299201 = 696012).

Multiplying 98863249 by its product of digits (746496), we get a square (73801019925504 = 85907522).

The spelling of 98863249 in words is "ninety-eight million, eight hundred sixty-three thousand, two hundred forty-nine".

Divisors: 1 61 163 3721 9943 26569 606523 1620709 98863249