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98888864 = 2517437
BaseRepresentation
bin1011110010011…
…10110010100000
320220002002000112
411321032302200
5200303420424
613451310452
72310353504
oct571166240
9226062015
1098888864
1150902738
122914b428
1317644b29
14d1c2304
158a3560e
hex5e4eca0

98888864 has 60 divisors (see below), whose sum is σ = 212445954. Its totient is φ = 45278208.

The previous prime is 98888861. The next prime is 98888921. The reversal of 98888864 is 46888889.

It can be written as a sum of positive squares in 5 ways, for example, as 86638864 + 12250000 = 9308^2 + 3500^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (98888861) 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, 2672654 + ... + 2672690.

Almost surely, 298888864 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 98888864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106222977).

98888864 is an abundant number, since it is smaller than the sum of its proper divisors (113557090).

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

98888864 is an frugal number, since it uses more digits than its factorization.

98888864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 56 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 59.

The square root of 98888864 is about 9944.2880087013. The cubic root of 98888864 is about 462.4333309307.

The spelling of 98888864 in words is "ninety-eight million, eight hundred eighty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 289 296 544 578 592 629 1156 1184 1258 2312 2516 4624 4913 5032 9248 9826 10064 10693 19652 20128 21386 39304 42772 78608 83521 85544 157216 167042 171088 181781 334084 342176 363562 668168 727124 1336336 1454248 2672672 2908496 3090277 5816992 6180554 12361108 24722216 49444432 98888864