Search a number
-
+
604142528 = 26111097873
BaseRepresentation
bin100100000000100…
…111101111000000
31120002210121202012
4210000213233000
52214130030103
6135540512052
720654061323
oct4400475700
91502717665
10604142528
11290028250
1214a3ab628
13982192b2
145a3447ba
153808a2d8
hex24027bc0

604142528 has 56 divisors (see below), whose sum is σ = 1319997360. Its totient is φ = 272056320.

The previous prime is 604142519. The next prime is 604142531. The reversal of 604142528 is 825241406.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 604142494 and 604142503.

It is a congruent number.

It is an unprimeable number.

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, 72800 + ... + 80672.

Almost surely, 2604142528 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 604142528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659998680).

604142528 is an abundant number, since it is smaller than the sum of its proper divisors (715854832).

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

604142528 is a wasteful number, since it uses less digits than its factorization.

604142528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8005 (or 7995 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 604142528 is about 24579.3109748829. The cubic root of 604142528 is about 845.3692948331.

The spelling of 604142528 in words is "six hundred four million, one hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 109 176 218 352 436 704 872 1199 1744 2398 3488 4796 6976 7873 9592 15746 19184 31492 38368 62984 76736 86603 125968 173206 251936 346412 503872 692824 858157 1385648 1716314 2771296 3432628 5542592 6865256 9439727 13730512 18879454 27461024 37758908 54922048 75517816 151035632 302071264 604142528