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3528252 = 2233713359
BaseRepresentation
bin1101011101011000111100
320122020212000
431131120330
51400401002
6203342300
741663310
oct15353074
96566760
103528252
111a9a912
121221990
13966c30
1467bb40
1549a61c
hex35d63c

3528252 has 96 divisors (see below), whose sum is σ = 11289600. Its totient is φ = 927936.

The previous prime is 3528251. The next prime is 3528253. The reversal of 3528252 is 2528253.

It is an interprime number because it is at equal distance from previous prime (3528251) and next prime (3528253).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3528251) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9649 + ... + 10007.

It is an arithmetic number, because the mean of its divisors is an integer number (117600).

Almost surely, 23528252 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 3528252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644800).

3528252 is an abundant number, since it is smaller than the sum of its proper divisors (7761348).

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

3528252 is a wasteful number, since it uses less digits than its factorization.

3528252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 3528252 is about 1878.3641819413. The cubic root of 3528252 is about 152.2368767354.

Subtracting from 3528252 its reverse (2528253), we obtain a palindrome (999999).

The spelling of 3528252 in words is "three million, five hundred twenty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 359 364 378 468 546 702 718 756 819 1077 1092 1404 1436 1638 2154 2457 2513 3231 3276 4308 4667 4914 5026 6462 7539 9334 9693 9828 10052 12924 14001 15078 18668 19386 22617 28002 30156 32669 38772 42003 45234 56004 65338 67851 84006 90468 98007 126009 130676 135702 168012 196014 252018 271404 294021 392028 504036 588042 882063 1176084 1764126 3528252