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4752832 = 2671032
BaseRepresentation
bin10010001000010111000000
322221110122211
4102020113000
52204042312
6245511504
755253440
oct22102700
98843584
104752832
112756967
121712594
13ca5436
148ba120
1563d3a7
hex4885c0

4752832 has 42 divisors (see below), whose sum is σ = 10884408. Its totient is φ = 2017152.

The previous prime is 4752823. The next prime is 4752841. The reversal of 4752832 is 2382574.

It is an interprime number because it is at equal distance from previous prime (4752823) and next prime (4752841).

Its product of digits (13440) is a multiple of the sum of its prime divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 4752794 and 4752803.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 46093 + ... + 46195.

Almost surely, 24752832 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 4752832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442204).

4752832 is an abundant number, since it is smaller than the sum of its proper divisors (6131576).

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

4752832 is an equidigital number, since it uses as much as digits as its factorization.

4752832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 112 counting only the distinct ones).

The product of its digits is 13440, while the sum is 31.

The square root of 4752832 is about 2180.0990803172. The cubic root of 4752832 is about 168.1321711216.

The spelling of 4752832 in words is "four million, seven hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 206 224 412 448 721 824 1442 1648 2884 3296 5768 6592 10609 11536 21218 23072 42436 46144 74263 84872 148526 169744 297052 339488 594104 678976 1188208 2376416 4752832