Search a number
-
+
98212064 = 2519163991
BaseRepresentation
bin1011101101010…
…01100011100000
320211210200121212
411312221203200
5200120241224
613425005252
72301534356
oct566514340
9224720555
1098212064
11504901a5
1228a83828
1317468a62
14d0877d6
15894ed0e
hex5da98e0

98212064 has 48 divisors (see below), whose sum is σ = 204986880. Its totient is φ = 46189440.

The previous prime is 98212057. The next prime is 98212069. The reversal of 98212064 is 46021289.

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 98212064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98212069) 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 7 ways as a sum of consecutive naturals, for example, 98609 + ... + 99599.

It is an arithmetic number, because the mean of its divisors is an integer number (4270560).

Almost surely, 298212064 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 98212064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102493440).

98212064 is an abundant number, since it is smaller than the sum of its proper divisors (106774816).

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

98212064 is a wasteful number, since it uses less digits than its factorization.

98212064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1175 counting only the distinct ones).

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

The square root of 98212064 is about 9910.1999979819. The cubic root of 98212064 is about 461.3759432133.

The spelling of 98212064 in words is "ninety-eight million, two hundred twelve thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 163 304 326 608 652 991 1304 1982 2608 3097 3964 5216 6194 7928 12388 15856 18829 24776 31712 37658 49552 75316 99104 150632 161533 301264 323066 602528 646132 1292264 2584528 3069127 5169056 6138254 12276508 24553016 49106032 98212064