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83280912 = 243112131103
BaseRepresentation
bin1001111011011…
…00010000010000
312210201002221020
410331230100100
5132304442122
612132555440
72030606331
oct475542020
9183632836
1083280912
1143012200
1223a82b80
131433b860
14b0bc288
1574a0c5c
hex4f6c410

83280912 has 120 divisors (see below), whose sum is σ = 254900352. Its totient is φ = 23274240.

The previous prime is 83280889. The next prime is 83280917. The reversal of 83280912 is 21908238.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (83280917) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 74953 + ... + 76055.

Almost surely, 283280912 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 83280912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127450176).

83280912 is an abundant number, since it is smaller than the sum of its proper divisors (171619440).

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

83280912 is a wasteful number, since it uses less digits than its factorization.

83280912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 83280912 is about 9125.8376053927. The cubic root of 83280912 is about 436.6986246512.

The spelling of 83280912 in words is "eighty-three million, two hundred eighty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 121 132 143 156 176 208 242 264 286 312 363 429 484 528 572 624 726 858 968 1103 1144 1452 1573 1716 1936 2206 2288 2904 3146 3309 3432 4412 4719 5808 6292 6618 6864 8824 9438 12133 12584 13236 14339 17648 18876 24266 25168 26472 28678 36399 37752 43017 48532 52944 57356 72798 75504 86034 97064 114712 133463 145596 157729 172068 194128 229424 266926 291192 315458 344136 400389 473187 533852 582384 630916 688272 800778 946374 1067704 1261832 1601556 1735019 1892748 2135408 2523664 3203112 3470038 3785496 5205057 6406224 6940076 7570992 10410114 13880152 20820228 27760304 41640456 83280912