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3057252 = 22311192353
BaseRepresentation
bin1011101010011001100100
312202022202120
423222121210
51240313002
6145305540
734662162
oct13523144
95668676
103057252
1117a8a60
1210352b0
13830733
14598232
15405cbc
hex2ea664

3057252 has 96 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 823680.

The previous prime is 3057227. The next prime is 3057253. The reversal of 3057252 is 2527503.

3057252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3057253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57658 + ... + 57710.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

Almost surely, 23057252 is an apocalyptic number.

It is a pronic number, being equal to 1748×1749.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3057252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

3057252 is an abundant number, since it is smaller than the sum of its proper divisors (5651868).

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

3057252 is a wasteful number, since it uses less digits than its factorization.

3057252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 3057252 is about 1748.4999285102. The cubic root of 3057252 is about 145.1366448705.

It can be divided in two parts, 305 and 7252, that added together give a palindrome (7557).

The spelling of 3057252 in words is "three million, fifty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 19 22 23 33 38 44 46 53 57 66 69 76 92 106 114 132 138 159 209 212 228 253 276 318 418 437 506 583 627 636 759 836 874 1007 1012 1166 1219 1254 1311 1518 1748 1749 2014 2332 2438 2508 2622 3021 3036 3498 3657 4028 4807 4876 5244 6042 6996 7314 9614 11077 12084 13409 14421 14628 19228 22154 23161 26818 28842 33231 40227 44308 46322 53636 57684 66462 69483 80454 92644 132924 138966 160908 254771 277932 509542 764313 1019084 1528626 3057252