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3845556 = 2234111383
BaseRepresentation
bin1110101010110110110100
321020101010000
432222312310
51441024211
6214231300
744454351
oct16526664
97211100
103845556
112197250
121355530
13a484a0
14721628
1550e656
hex3aadb4

3845556 has 120 divisors (see below), whose sum is σ = 11952864. Its totient is φ = 1062720.

The previous prime is 3845549. The next prime is 3845557. The reversal of 3845556 is 6555483.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 3845556.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3845557) 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 39 ways as a sum of consecutive naturals, for example, 46291 + ... + 46373.

Almost surely, 23845556 is an apocalyptic number.

3845556 is a gapful number since it is divisible by the number (36) 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 3845556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5976432).

3845556 is an abundant number, since it is smaller than the sum of its proper divisors (8107308).

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

3845556 is a wasteful number, since it uses less digits than its factorization.

3845556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 3845556 is about 1961.0089239981. The cubic root of 3845556 is about 156.6701935728.

The spelling of 3845556 in words is "three million, eight hundred forty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 81 83 99 108 117 132 143 156 162 166 198 234 249 286 297 324 332 351 396 429 468 498 572 594 702 747 858 891 913 996 1053 1079 1188 1287 1404 1494 1716 1782 1826 2106 2158 2241 2574 2739 2988 3237 3564 3652 3861 4212 4316 4482 5148 5478 6474 6723 7722 8217 8964 9711 10956 11583 11869 12948 13446 15444 16434 19422 23166 23738 24651 26892 29133 32868 35607 38844 46332 47476 49302 58266 71214 73953 87399 98604 106821 116532 142428 147906 174798 213642 295812 320463 349596 427284 640926 961389 1281852 1922778 3845556