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42233940 = 22335711173
BaseRepresentation
bin1010000100011…
…1000001010100
32221110201002000
42201013001110
541302441230
64105115300
71021661010
oct241070124
987421060
1042233940
1121926a91
1212188b30
1389995c8
145875540
153a93b60
hex2847054

42233940 has 96 divisors (see below), whose sum is σ = 150178560. Its totient is φ = 9652608.

The previous prime is 42233927. The next prime is 42233999. The reversal of 42233940 is 4933224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1807 + ... + 9366.

It is an arithmetic number, because the mean of its divisors is an integer number (1564360).

Almost surely, 242233940 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 42233940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75089280).

42233940 is an abundant number, since it is smaller than the sum of its proper divisors (107944620).

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

42233940 is a wasteful number, since it uses less digits than its factorization.

42233940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11198 (or 11190 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 42233940 is about 6498.7644979642. The cubic root of 42233940 is about 348.2468522035.

The spelling of 42233940 in words is "forty-two million, two hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 11173 22346 33519 44692 55865 67038 78211 100557 111730 134076 156422 167595 201114 223460 234633 301671 312844 335190 391055 402228 469266 502785 603342 670380 703899 782110 938532 1005570 1173165 1206684 1407798 1508355 1564220 2011140 2111697 2346330 2815596 3016710 3519495 4223394 4692660 6033420 7038990 8446788 10558485 14077980 21116970 42233940