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472530528 = 25325927809
BaseRepresentation
bin11100001010100…
…011111001100000
31012221011001000200
4130022203321200
51431431434103
6114515545200
714465305011
oct3412437140
91187131020
10472530528
112228051a8
121122bb200
1376b87b82
1446a85008
152b73e0a3
hex1c2a3e60

472530528 has 72 divisors (see below), whose sum is σ = 1366583400. Its totient is φ = 154834944.

The previous prime is 472530503. The next prime is 472530559. The reversal of 472530528 is 825035274.

472530528 is a `hidden beast` number, since 4 + 72 + 530 + 52 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 472530492 and 472530501.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 3088 + ... + 30896.

It is an arithmetic number, because the mean of its divisors is an integer number (18980325).

Almost surely, 2472530528 is an apocalyptic number.

472530528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472530528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683291700).

472530528 is an abundant number, since it is smaller than the sum of its proper divisors (894052872).

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

472530528 is a wasteful number, since it uses less digits than its factorization.

472530528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27884 (or 27873 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 472530528 is about 21737.7673186553. The cubic root of 472530528 is about 778.8908891450.

It can be divided in two parts, 4725 and 30528, that added together give a palindrome (35253).

The spelling of 472530528 in words is "four hundred seventy-two million, five hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 72 96 118 144 177 236 288 354 472 531 708 944 1062 1416 1888 2124 2832 4248 5664 8496 16992 27809 55618 83427 111236 166854 222472 250281 333708 444944 500562 667416 889888 1001124 1334832 1640731 2002248 2669664 3281462 4004496 4922193 6562924 8008992 9844386 13125848 14766579 19688772 26251696 29533158 39377544 52503392 59066316 78755088 118132632 157510176 236265264 472530528