Search a number
-
+
97185856 = 2623103641
BaseRepresentation
bin1011100101011…
…11000001000000
320202212112221011
411302233001000
5144334421411
613351010304
72260031455
oct562570100
9222775834
1097185856
114a94a199
1228669994
1317199931
14cc9b82c
1587eac21
hex5caf040

97185856 has 56 divisors (see below), whose sum is σ = 203508864. Its totient is φ = 45957120.

The previous prime is 97185839. The next prime is 97185857. The reversal of 97185856 is 65858179.

It is not an unprimeable number, because it can be changed into a prime (97185857) 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 7 ways as a sum of consecutive naturals, for example, 151296 + ... + 151936.

Almost surely, 297185856 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 97185856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101754432).

97185856 is an abundant number, since it is smaller than the sum of its proper divisors (106323008).

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

97185856 is a wasteful number, since it uses less digits than its factorization.

97185856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 769 counting only the distinct ones).

The product of its digits is 604800, while the sum is 49.

The square root of 97185856 is about 9858.2886953061. The cubic root of 97185856 is about 459.7633565423.

The spelling of 97185856 in words is "ninety-seven million, one hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 103 184 206 368 412 641 736 824 1282 1472 1648 2369 2564 3296 4738 5128 6592 9476 10256 14743 18952 20512 29486 37904 41024 58972 66023 75808 117944 132046 151616 235888 264092 471776 528184 943552 1056368 1518529 2112736 3037058 4225472 6074116 12148232 24296464 48592928 97185856