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4768528 = 242943239
BaseRepresentation
bin10010001100001100010000
322222021012011
4102030030100
52210043103
6250112304
755350262
oct22141420
98867164
104768528
112767736
12171b694
13cac61b
148c1b32
15642d6d
hex48c310

4768528 has 40 divisors (see below), whose sum is σ = 9820800. Its totient is φ = 2239104.

The previous prime is 4768507. The next prime is 4768529. The reversal of 4768528 is 8258674.

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

It is not an unprimeable number, because it can be changed into a prime (4768529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19833 + ... + 20071.

It is an arithmetic number, because the mean of its divisors is an integer number (245520).

Almost surely, 24768528 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 4768528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910400).

4768528 is an abundant number, since it is smaller than the sum of its proper divisors (5052272).

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

4768528 is a wasteful number, since it uses less digits than its factorization.

4768528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its digits is 107520, while the sum is 40.

The square root of 4768528 is about 2183.6959495314. The cubic root of 4768528 is about 168.3170505659.

The spelling of 4768528 in words is "four million, seven hundred sixty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 29 43 58 86 116 172 232 239 344 464 478 688 956 1247 1912 2494 3824 4988 6931 9976 10277 13862 19952 20554 27724 41108 55448 82216 110896 164432 298033 596066 1192132 2384264 4768528