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40528080 = 2433529647
BaseRepresentation
bin1001101010011…
…0100011010000
32211021001002000
42122212203100
540333344310
64004354000
71001324445
oct232464320
984231060
1040528080
112097138a
12116a5900
138520018
14554d9cc
1538584c0
hex26a68d0

40528080 has 160 divisors (see below), whose sum is σ = 144633600. Its totient is φ = 10418688.

The previous prime is 40528079. The next prime is 40528097. The reversal of 40528080 is 8082504.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62317 + ... + 62963.

It is an arithmetic number, because the mean of its divisors is an integer number (903960).

Almost surely, 240528080 is an apocalyptic number.

40528080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40528080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72316800).

40528080 is an abundant number, since it is smaller than the sum of its proper divisors (104105520).

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

40528080 is a wasteful number, since it uses less digits than its factorization.

40528080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 40528080 is about 6366.1668215654. The cubic root of 40528080 is about 343.4936212847.

The spelling of 40528080 in words is "forty million, five hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 87 90 108 116 120 135 144 145 174 180 216 232 240 261 270 290 348 360 432 435 464 522 540 580 647 696 720 783 870 1044 1080 1160 1294 1305 1392 1566 1740 1941 2088 2160 2320 2588 2610 3132 3235 3480 3882 3915 4176 5176 5220 5823 6264 6470 6960 7764 7830 9705 10352 10440 11646 12528 12940 15528 15660 17469 18763 19410 20880 23292 25880 29115 31056 31320 34938 37526 38820 46584 51760 56289 58230 62640 69876 75052 77640 87345 93168 93815 112578 116460 139752 150104 155280 168867 174690 187630 225156 232920 279504 281445 300208 337734 349380 375260 450312 465840 506601 562890 675468 698760 750520 844335 900624 1013202 1125780 1350936 1397520 1501040 1688670 2026404 2251560 2533005 2701872 3377340 4052808 4503120 5066010 6754680 8105616 10132020 13509360 20264040 40528080