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4052832 = 253737163
BaseRepresentation
bin1111011101011101100000
321121220102220
433131131200
52014142312
6222511040
746306560
oct17353540
97556386
104052832
112318a53
121435480
13abb934
14776da0
15550c8c
hex3dd760

4052832 has 96 divisors (see below), whose sum is σ = 12563712. Its totient is φ = 1119744.

The previous prime is 4052821. The next prime is 4052849. The reversal of 4052832 is 2382504.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 44 + 0 + 59 + 211 + 8 + 35 + 221 .

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 15 ways as a sum of consecutive naturals, for example, 24783 + ... + 24945.

It is an arithmetic number, because the mean of its divisors is an integer number (130872).

Almost surely, 24052832 is an apocalyptic number.

4052832 is a gapful number since it is divisible by the number (42) 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 4052832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6281856).

4052832 is an abundant number, since it is smaller than the sum of its proper divisors (8510880).

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

4052832 is a wasteful number, since it uses less digits than its factorization.

4052832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4052832 is about 2013.1646728472. The cubic root of 4052832 is about 159.4359304129.

It can be divided in two parts, 4052 and 832, that added together give a palindrome (4884).

The spelling of 4052832 in words is "four million, fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 163 168 222 224 259 296 326 336 444 489 518 592 652 672 777 888 978 1036 1141 1184 1304 1554 1776 1956 2072 2282 2608 3108 3423 3552 3912 4144 4564 5216 6031 6216 6846 7824 8288 9128 12062 12432 13692 15648 18093 18256 24124 24864 27384 36186 36512 42217 48248 54768 72372 84434 96496 109536 126651 144744 168868 192992 253302 289488 337736 506604 578976 675472 1013208 1350944 2026416 4052832