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41442016 = 257113139
BaseRepresentation
bin1001111000010…
…1101011100000
32212222110202111
42132011223200
541102121031
64040125104
71012152130
oct236055340
985873674
1041442016
1121436000
1211a66794
138780005
14570aac0
1539891b1
hex2785ae0

41442016 has 96 divisors (see below), whose sum is σ = 103299840. Its totient is φ = 16030080.

The previous prime is 41442001. The next prime is 41442019. The reversal of 41442016 is 61024414.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41442019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298075 + ... + 298213.

It is an arithmetic number, because the mean of its divisors is an integer number (1076040).

Almost surely, 241442016 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 41442016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51649920).

41442016 is an abundant number, since it is smaller than the sum of its proper divisors (61857824).

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

41442016 is a wasteful number, since it uses less digits than its factorization.

41442016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 41442016 is about 6437.5473590491. The cubic root of 41442016 is about 346.0564577590.

The spelling of 41442016 in words is "forty-one million, four hundred forty-two thousand, sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 139 154 176 224 242 278 308 352 484 556 616 847 968 973 1112 1232 1331 1529 1694 1936 1946 2224 2464 2662 3058 3388 3872 3892 4448 5324 6116 6776 7784 9317 10648 10703 12232 13552 15568 16819 18634 21296 21406 24464 27104 31136 33638 37268 42592 42812 48928 67276 74536 85624 117733 134552 149072 171248 185009 235466 269104 298144 342496 370018 470932 538208 740036 941864 1295063 1480072 1883728 2590126 2960144 3767456 5180252 5920288 10360504 20721008 41442016