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82675520 = 2652959151
BaseRepresentation
bin1001110110110…
…00011101000000
312202120100111022
410323120131000
5132131104040
612112005012
72022505334
oct473303500
9182510438
1082675520
1142739384
1223830768
1314189135
14ada17c4
1573d16b5
hex4ed8740

82675520 has 112 divisors (see below), whose sum is σ = 208483200. Its totient is φ = 31180800.

The previous prime is 82675511. The next prime is 82675561. The reversal of 82675520 is 2557628.

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, 547445 + ... + 547595.

Almost surely, 282675520 is an apocalyptic number.

82675520 is a gapful number since it is divisible by the number (80) 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 82675520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104241600).

82675520 is an abundant number, since it is smaller than the sum of its proper divisors (125807680).

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

82675520 is a wasteful number, since it uses less digits than its factorization.

82675520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 82675520 is about 9092.6079867110. The cubic root of 82675520 is about 435.6378891664.

The spelling of 82675520 in words is "eighty-two million, six hundred seventy-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 59 64 80 116 118 145 151 160 232 236 290 295 302 320 464 472 580 590 604 755 928 944 1160 1180 1208 1510 1711 1856 1888 2320 2360 2416 3020 3422 3776 4379 4640 4720 4832 6040 6844 8555 8758 8909 9280 9440 9664 12080 13688 17110 17516 17818 18880 21895 24160 27376 34220 35032 35636 43790 44545 48320 54752 68440 70064 71272 87580 89090 109504 136880 140128 142544 175160 178180 258361 273760 280256 285088 350320 356360 516722 547520 570176 700640 712720 1033444 1291805 1401280 1425440 2066888 2583610 2850880 4133776 5167220 8267552 10334440 16535104 20668880 41337760 82675520