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83881440 = 2533519417
BaseRepresentation
bin1001111111111…
…10110111100000
312211211121201000
410333332313200
5132433201230
612153512000
72035660206
oct477766740
9184747630
1083881440
1143392405
1224112600
13144bbcb6
14b1d7076
15756db60
hex4ffede0

83881440 has 96 divisors (see below), whose sum is σ = 293600160. Its totient is φ = 22367232.

The previous prime is 83881423. The next prime is 83881481. The reversal of 83881440 is 4418838.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83881395 and 83881404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5389 + ... + 14028.

It is an arithmetic number, because the mean of its divisors is an integer number (3058335).

Almost surely, 283881440 is an apocalyptic number.

83881440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83881440 is an abundant number, since it is smaller than the sum of its proper divisors (209718720).

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

83881440 is a wasteful number, since it uses less digits than its factorization.

83881440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19441 (or 19427 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 83881440 is about 9158.6811277607. The cubic root of 83881440 is about 437.7457710249.

The spelling of 83881440 in words is "eighty-three million, eight hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 19417 38834 58251 77668 97085 116502 155336 174753 194170 233004 291255 310672 349506 388340 466008 524259 582510 621344 699012 776680 873765 932016 1048518 1165020 1398024 1553360 1747530 1864032 2097036 2330040 2621295 2796048 3106720 3495060 4194072 4660080 5242590 5592096 6990120 8388144 9320160 10485180 13980240 16776288 20970360 27960480 41940720 83881440