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4133052 = 2233721171
BaseRepresentation
bin1111110001000010111100
321202222111000
433301002330
52024224202
6224330300
750062500
oct17610274
97688430
104133052
112373250
121473990
13b192c1
14798300
1556991c
hex3f10bc

4133052 has 144 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 1058400.

The previous prime is 4133047. The next prime is 4133069. The reversal of 4133052 is 2503314.

4133052 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58177 + ... + 58247.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

Almost surely, 24133052 is an apocalyptic number.

4133052 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 4133052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

4133052 is an abundant number, since it is smaller than the sum of its proper divisors (9656388).

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

4133052 is a wasteful number, since it uses less digits than its factorization.

4133052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 4133052 is about 2032.9909001272. The cubic root of 4133052 is about 160.4810004586.

Adding to 4133052 its reverse (2503314), we get a palindrome (6636366).

The spelling of 4133052 in words is "four million, one hundred thirty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 49 54 63 66 71 77 84 98 99 108 126 132 142 147 154 189 196 198 213 231 252 284 294 297 308 378 396 426 441 462 497 539 588 594 639 693 756 781 852 882 924 994 1078 1188 1278 1323 1386 1491 1562 1617 1764 1917 1988 2079 2156 2343 2556 2646 2772 2982 3124 3234 3479 3834 4158 4473 4686 4851 5292 5467 5964 6468 6958 7029 7668 8316 8946 9372 9702 10437 10934 13419 13916 14058 14553 16401 17892 19404 20874 21087 21868 26838 28116 29106 31311 32802 38269 41748 42174 49203 53676 58212 62622 65604 76538 84348 93933 98406 114807 125244 147609 153076 187866 196812 229614 295218 344421 375732 459228 590436 688842 1033263 1377684 2066526 4133052