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41102028 = 223211271383
BaseRepresentation
bin1001110011001…
…0101011001100
32212100012101100
42130302223030
541010231103
64024543100
71006234662
oct234625314
985305340
1041102028
1121223620
1211921a90
138691336
14565cc32
15391d5a3
hex2732acc

41102028 has 72 divisors (see below), whose sum is σ = 114057216. Its totient is φ = 12376800.

The previous prime is 41102027. The next prime is 41102029. The reversal of 41102028 is 82020114.

41102028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41102027) and next prime (41102029).

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

It is a self number, because there is not a number n which added to its sum of digits gives 41102028.

It is not an unprimeable number, because it can be changed into a prime (41102027) 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 23 ways as a sum of consecutive naturals, for example, 107125 + ... + 107507.

It is an arithmetic number, because the mean of its divisors is an integer number (1584128).

Almost surely, 241102028 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 41102028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57028608).

41102028 is an abundant number, since it is smaller than the sum of its proper divisors (72955188).

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

41102028 is a wasteful number, since it uses less digits than its factorization.

41102028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 41102028 is about 6411.0863354037. The cubic root of 41102028 is about 345.1075153249.

The spelling of 41102028 in words is "forty-one million, one hundred two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 271 383 396 542 766 813 1084 1149 1532 1626 2298 2439 2981 3252 3447 4213 4596 4878 5962 6894 8426 8943 9756 11924 12639 13788 16852 17886 25278 26829 35772 37917 50556 53658 75834 103793 107316 151668 207586 311379 415172 622758 934137 1141723 1245516 1868274 2283446 3425169 3736548 4566892 6850338 10275507 13700676 20551014 41102028