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40229460 = 22345191307
BaseRepresentation
bin1001100101110…
…1101001010100
32210200212110000
42121131221110
540244320320
63554131300
7665642025
oct231355124
983625400
1040229460
1120787a97
1211580b30
13844711b
1454b2c4c
1537e9c90
hex265da54

40229460 has 120 divisors (see below), whose sum is σ = 132945120. Its totient is φ = 10155456.

The previous prime is 40229459. The next prime is 40229473. The reversal of 40229460 is 6492204.

40229460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30127 + ... + 31433.

It is an arithmetic number, because the mean of its divisors is an integer number (1107876).

Almost surely, 240229460 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 40229460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66472560).

40229460 is an abundant number, since it is smaller than the sum of its proper divisors (92715660).

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

40229460 is a wasteful number, since it uses less digits than its factorization.

40229460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40229460 is about 6342.6697848777. The cubic root of 40229460 is about 342.6478946417.

The spelling of 40229460 in words is "forty million, two hundred twenty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 270 285 324 342 380 405 513 540 570 684 810 855 1026 1140 1307 1539 1620 1710 2052 2565 2614 3078 3420 3921 5130 5228 6156 6535 7695 7842 10260 11763 13070 15390 15684 19605 23526 24833 26140 30780 35289 39210 47052 49666 58815 70578 74499 78420 99332 105867 117630 124165 141156 148998 176445 211734 223497 235260 248330 297996 352890 372495 423468 446994 496660 529335 670491 705780 744990 893988 1058670 1117485 1340982 1489980 2011473 2117340 2234970 2681964 3352455 4022946 4469940 6704910 8045892 10057365 13409820 20114730 40229460