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40529700 = 22335217883
BaseRepresentation
bin1001101010011…
…0111100100100
32211021010022000
42122212330210
540333422300
64004405300
71001332251
oct232467444
984233260
1040529700
1120972622
12116a6830
138520993
145550428
153858c00
hex26a6f24

40529700 has 144 divisors (see below), whose sum is σ = 138116160. Its totient is φ = 10160640.

The previous prime is 40529677. The next prime is 40529729. The reversal of 40529700 is 792504.

40529700 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 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 47 ways as a sum of consecutive naturals, for example, 45459 + ... + 46341.

It is an arithmetic number, because the mean of its divisors is an integer number (959140).

Almost surely, 240529700 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 40529700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69058080).

40529700 is an abundant number, since it is smaller than the sum of its proper divisors (97586460).

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

40529700 is a wasteful number, since it uses less digits than its factorization.

40529700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 40529700 is about 6366.2940554140. The cubic root of 40529700 is about 343.4981979654.

The spelling of 40529700 in words is "forty million, five hundred twenty-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 30 34 36 45 50 51 54 60 68 75 85 90 100 102 108 135 150 153 170 180 204 225 255 270 300 306 340 425 450 459 510 540 612 675 765 850 883 900 918 1020 1275 1350 1530 1700 1766 1836 2295 2550 2649 2700 3060 3532 3825 4415 4590 5100 5298 7650 7947 8830 9180 10596 11475 13245 15011 15300 15894 17660 22075 22950 23841 26490 30022 31788 39735 44150 45033 45900 47682 52980 60044 66225 75055 79470 88300 90066 95364 119205 132450 135099 150110 158940 180132 198675 225165 238410 264900 270198 300220 375275 397350 405297 450330 476820 540396 596025 675495 750550 794700 810594 900660 1125825 1192050 1350990 1501100 1621188 2026485 2251650 2384100 2701980 3377475 4052970 4503300 6754950 8105940 10132425 13509900 20264850 40529700