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4113252 = 223211131747
BaseRepresentation
bin1111101100001101100100
321201222022200
433230031210
52023111002
6224054500
746650663
oct17541544
97658280
104113252
11235a390
121464430
13b102a0
14790dda
15563b1c
hex3ec364

4113252 has 144 divisors (see below), whose sum is σ = 13208832. Its totient is φ = 1059840.

The previous prime is 4113233. The next prime is 4113259. The reversal of 4113252 is 2523114.

4113252 = T363 + T364 + ... + T416.

4113252 is a `hidden beast` number, since 411 + 3 + 252 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4113259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87493 + ... + 87539.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

Almost surely, 24113252 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 4113252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604416).

4113252 is an abundant number, since it is smaller than the sum of its proper divisors (9095580).

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

4113252 is a wasteful number, since it uses less digits than its factorization.

4113252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 93 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 4113252 is about 2028.1153813331. The cubic root of 4113252 is about 160.2243207709.

Adding to 4113252 its reverse (2523114), we get a palindrome (6636366).

It can be divided in two parts, 411 and 3252, that added together give a palindrome (3663).

The spelling of 4113252 in words is "four million, one hundred thirteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 13 17 18 22 26 33 34 36 39 44 47 51 52 66 68 78 94 99 102 117 132 141 143 153 156 187 188 198 204 221 234 282 286 306 374 396 423 429 442 468 517 561 564 572 611 612 663 748 799 846 858 884 1034 1122 1222 1287 1326 1551 1598 1683 1692 1716 1833 1989 2068 2244 2397 2431 2444 2574 2652 3102 3196 3366 3666 3978 4653 4794 4862 5148 5499 6204 6721 6732 7191 7293 7332 7956 8789 9306 9588 9724 10387 10998 13442 14382 14586 17578 18612 20163 20774 21879 21996 26367 26884 28764 29172 31161 35156 40326 41548 43758 52734 60489 62322 79101 80652 87516 93483 105468 114257 120978 124644 158202 186966 228514 241956 316404 342771 373932 457028 685542 1028313 1371084 2056626 4113252