Search a number
-
+
83054898 = 232291071487
BaseRepresentation
bin1001111001101…
…01000100110010
312210021121220100
410330311010302
5132230224043
612124053230
72025645363
oct474650462
9183247810
1083054898
1142978413
1223994216
131428ca14
14b05db6a
157458cd3
hex4f35132

83054898 has 48 divisors (see below), whose sum is σ = 188023680. Its totient is φ = 26462688.

The previous prime is 83054893. The next prime is 83054929. The reversal of 83054898 is 89845038.

It is not an unprimeable number, because it can be changed into a prime (83054891) 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 23 ways as a sum of consecutive naturals, for example, 55111 + ... + 56597.

It is an arithmetic number, because the mean of its divisors is an integer number (3917160).

Almost surely, 283054898 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83054898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94011840).

83054898 is an abundant number, since it is smaller than the sum of its proper divisors (104968782).

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

83054898 is a wasteful number, since it uses less digits than its factorization.

83054898 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 83054898 is about 9113.4460002789. The cubic root of 83054898 is about 436.3032182212.

It can be divided in two parts, 8305 and 4898, that added together give a triangular number (13203 = T162).

The spelling of 83054898 in words is "eighty-three million, fifty-four thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 9 18 29 58 87 107 174 214 261 321 522 642 963 1487 1926 2974 3103 4461 6206 8922 9309 13383 18618 26766 27927 43123 55854 86246 129369 159109 258738 318218 388107 477327 776214 954654 1431981 2863962 4614161 9228322 13842483 27684966 41527449 83054898