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42711012 = 223219411523
BaseRepresentation
bin1010001011101…
…1011111100100
32222100221111100
42202323133210
541413223022
64123240100
71026015621
oct242733744
988327440
1042711012
1122122463
1212379030
138b057b6
14595b348
153b3a1ac
hex28bb7e4

42711012 has 72 divisors (see below), whose sum is σ = 116494560. Its totient is φ = 13150080.

The previous prime is 42711001. The next prime is 42711047. The reversal of 42711012 is 21011724.

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

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, 27283 + ... + 28805.

It is an arithmetic number, because the mean of its divisors is an integer number (1617980).

Almost surely, 242711012 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 42711012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58247280).

42711012 is an abundant number, since it is smaller than the sum of its proper divisors (73783548).

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

42711012 is a wasteful number, since it uses less digits than its factorization.

42711012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 42711012 is about 6535.3662483445. The cubic root of 42711012 is about 349.5532040305.

Adding to 42711012 its reverse (21011724), we get a palindrome (63722736).

The spelling of 42711012 in words is "forty-two million, seven hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 41 57 76 82 114 123 164 171 228 246 342 369 492 684 738 779 1476 1523 1558 2337 3046 3116 4569 4674 6092 7011 9138 9348 13707 14022 18276 27414 28044 28937 54828 57874 62443 86811 115748 124886 173622 187329 249772 260433 347244 374658 520866 561987 749316 1041732 1123974 1186417 2247948 2372834 3559251 4745668 7118502 10677753 14237004 21355506 42711012