Search a number
-
+
605797152 = 25337170551
BaseRepresentation
bin100100000110111…
…011101100100000
31120012220200110120
4210012323230200
52220041002102
6140040200240
721004122312
oct4406735440
91505820416
10605797152
11290a58404
1214aa69080
139867846c
145a6557b2
15382b56bc
hex241bbb20

605797152 has 48 divisors (see below), whose sum is σ = 1633205952. Its totient is φ = 196473600.

The previous prime is 605797141. The next prime is 605797169. The reversal of 605797152 is 251797506.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×6057971522 = 733980378742622208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 81724 + ... + 88827.

It is an arithmetic number, because the mean of its divisors is an integer number (34025124).

Almost surely, 2605797152 is an apocalyptic number.

It is an amenable number.

605797152 is an abundant number, since it is smaller than the sum of its proper divisors (1027408800).

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

605797152 is a wasteful number, since it uses less digits than its factorization.

605797152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170601 (or 170593 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The square root of 605797152 is about 24612.9468369799. The cubic root of 605797152 is about 846.1403564164.

The spelling of 605797152 in words is "six hundred five million, seven hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 170551 341102 511653 682204 1023306 1364408 2046612 2728816 4093224 5457632 6310387 8186448 12620774 16372896 18931161 25241548 37862322 50483096 75724644 100966192 151449288 201932384 302898576 605797152