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41427828 = 223313191553
BaseRepresentation
bin1001111000001…
…0001101110100
32212221202022000
42132002031310
541101142303
64035535300
71012062561
oct236021564
985852260
1041427828
1121426382
1211a5a530
138776710
145705868
153984da3
hex2782374

41427828 has 96 divisors (see below), whose sum is σ = 121833600. Its totient is φ = 12068352.

The previous prime is 41427817. The next prime is 41427839. The reversal of 41427828 is 82872414.

It is an interprime number because it is at equal distance from previous prime (41427817) and next prime (41427839).

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

It is a junction number, because it is equal to n+sod(n) for n = 41427792 and 41427801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25900 + ... + 27452.

It is an arithmetic number, because the mean of its divisors is an integer number (1269100).

Almost surely, 241427828 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 41427828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60916800).

41427828 is an abundant number, since it is smaller than the sum of its proper divisors (80405772).

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

41427828 is a wasteful number, since it uses less digits than its factorization.

41427828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1590 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 41427828 is about 6436.4452922401. The cubic root of 41427828 is about 346.0169615350.

The spelling of 41427828 in words is "forty-one million, four hundred twenty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 468 494 513 684 702 741 988 1026 1404 1482 1553 2052 2223 2964 3106 4446 4659 6212 6669 8892 9318 13338 13977 18636 20189 26676 27954 29507 40378 41931 55908 59014 60567 80756 83862 88521 118028 121134 167724 177042 181701 242268 265563 354084 363402 383591 531126 545103 726804 767182 796689 1062252 1090206 1150773 1534364 1593378 2180412 2301546 3186756 3452319 4603092 6904638 10356957 13809276 20713914 41427828