Search a number
-
+
89986800484 = 227430612
BaseRepresentation
bin101001111001110100…
…0011001101101100100
322121021100001002210101
41103303220121231210
52433243110103414
6105201145233444
76333646120000
oct1236350315544
9277240032711
1089986800484
11351882260a9
1215534492884
138641180309
1444d9263700
15251a120a74
hex14f3a19b64

89986800484 has 45 divisors (see below), whose sum is σ = 183772156281. Its totient is φ = 38553172560.

The previous prime is 89986800469. The next prime is 89986800487. The reversal of 89986800484 is 48400868998.

The square root of 89986800484 is 299978.

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., 85803298084 + 4183502400 = 292922^2 + 64680^2 .

It is a super-2 number, since 2×899868004842 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (89986800487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 29396314 + ... + 29399374.

Almost surely, 289986800484 is an apocalyptic number.

89986800484 is the 299978-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89986800484

89986800484 is an abundant number, since it is smaller than the sum of its proper divisors (93785355797).

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

89986800484 is an frugal number, since it uses more digits than its factorization.

89986800484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6154 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 64.

Multiplying 89986800484 by its sum of digits (64), we get a square (5759155230976 = 23998242).

The spelling of 89986800484 in words is "eighty-nine billion, nine hundred eighty-six million, eight hundred thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 3061 4802 6122 9604 12244 21427 42854 85708 149989 299978 599956 1049923 2099846 4199692 7349461 9369721 14698922 18739442 29397844 37478884 65588047 131176094 262352188 459116329 918232658 1836465316 3213814303 6427628606 12855257212 22496700121 44993400242 89986800484