Search a number
-
+
97298500 = 22531314969
BaseRepresentation
bin1011100110010…
…10100001000100
320210002021110011
411303022201010
5144402023000
613353240004
72261011045
oct563124104
9223067404
1097298500
114aa16892
1228703004
1317208ca0
14ccca8cc
15881e2ba
hex5cca844

97298500 has 48 divisors (see below), whose sum is σ = 228861360. Its totient is φ = 35923200.

The previous prime is 97298483. The next prime is 97298501. The reversal of 97298500 is 589279.

It can be written as a sum of positive squares in 8 ways, for example, as 82919236 + 14379264 = 9106^2 + 3792^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (97298501) 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 15 ways as a sum of consecutive naturals, for example, 985 + ... + 13984.

It is an arithmetic number, because the mean of its divisors is an integer number (4767945).

Almost surely, 297298500 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 97298500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114430680).

97298500 is an abundant number, since it is smaller than the sum of its proper divisors (131562860).

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

97298500 is a wasteful number, since it uses less digits than its factorization.

97298500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15001 (or 14989 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 97298500 is about 9864.0002027575. Note that the first 3 decimals coincide. The cubic root of 97298500 is about 459.9409186881.

The spelling of 97298500 in words is "ninety-seven million, two hundred ninety-eight thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 14969 29938 59876 74845 149690 194597 299380 374225 389194 748450 778388 972985 1496900 1871125 1945970 3742250 3891940 4864925 7484500 9729850 19459700 24324625 48649250 97298500