Search a number
-
+
97993968 = 24319910259
BaseRepresentation
bin1011101011101…
…00010011110000
320211101121110020
411311310103300
5200041301333
613420203440
72266635462
oct565642360
9224347406
1097993968
1150351356
1228999580
13173c06c7
14d02c132
15890a3b3
hex5d744f0

97993968 has 40 divisors (see below), whose sum is σ = 254448000. Its totient is φ = 32497344.

The previous prime is 97993949. The next prime is 97993969. The reversal of 97993968 is 86939979.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97993969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4423 + ... + 14681.

It is an arithmetic number, because the mean of its divisors is an integer number (6361200).

Almost surely, 297993968 is an apocalyptic number.

It is an amenable number.

97993968 is an abundant number, since it is smaller than the sum of its proper divisors (156454032).

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

97993968 is a wasteful number, since it uses less digits than its factorization.

97993968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10469 (or 10463 counting only the distinct ones).

The product of its digits is 6613488, while the sum is 60.

The square root of 97993968 is about 9899.1902699160. The cubic root of 97993968 is about 461.0341697765.

The spelling of 97993968 in words is "ninety-seven million, nine hundred ninety-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 199 398 597 796 1194 1592 2388 3184 4776 9552 10259 20518 30777 41036 61554 82072 123108 164144 246216 492432 2041541 4083082 6124623 8166164 12249246 16332328 24498492 32664656 48996984 97993968