Search a number
-
+
4142556 = 2233112317
BaseRepresentation
bin1111110011010111011100
321210110112000
433303113130
52030030211
6224442300
750132265
oct17632734
97713460
104142556
11237a400
121479390
13b20722
1479b96c
1556c656
hex3f35dc

4142556 has 72 divisors (see below), whose sum is σ = 11842320. Its totient is φ = 1251360.

The previous prime is 4142521. The next prime is 4142569. The reversal of 4142556 is 6552414.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12910 + ... + 13226.

Almost surely, 24142556 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 4142556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5921160).

4142556 is an abundant number, since it is smaller than the sum of its proper divisors (7699764).

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

4142556 is a wasteful number, since it uses less digits than its factorization.

4142556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 333 counting only the distinct ones).

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

The square root of 4142556 is about 2035.3270007544. The cubic root of 4142556 is about 160.6039155860.

The spelling of 4142556 in words is "four million, one hundred forty-two thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 317 363 396 484 594 634 726 951 1089 1188 1268 1452 1902 2178 2853 3267 3487 3804 4356 5706 6534 6974 8559 10461 11412 13068 13948 17118 20922 31383 34236 38357 41844 62766 76714 94149 115071 125532 153428 188298 230142 345213 376596 460284 690426 1035639 1380852 2071278 4142556