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82948140 = 223251141893
BaseRepresentation
bin1001111000110…
…11000000101100
312210002012110100
410330123000230
5132213320030
612121511100
72025022212
oct474330054
9183065410
1082948140
1142905190
1223942490
1314253252
14b032cb2
157437360
hex4f1b02c

82948140 has 72 divisors (see below), whose sum is σ = 274489488. Its totient is φ = 20108160.

The previous prime is 82948139. The next prime is 82948147. The reversal of 82948140 is 4184928.

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 = 82948095 and 82948104.

It is not an unprimeable number, because it can be changed into a prime (82948147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18967 + ... + 22926.

It is an arithmetic number, because the mean of its divisors is an integer number (3812354).

Almost surely, 282948140 is an apocalyptic number.

It is an amenable number.

82948140 is an abundant number, since it is smaller than the sum of its proper divisors (191541348).

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

82948140 is a wasteful number, since it uses less digits than its factorization.

82948140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41919 (or 41914 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 82948140 is about 9107.5869471557. The cubic root of 82948140 is about 436.1161980225.

The spelling of 82948140 in words is "eighty-two million, nine hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 41893 83786 125679 167572 209465 251358 377037 418930 460823 502716 628395 754074 837860 921646 1256790 1382469 1508148 1843292 1885185 2304115 2513580 2764938 3770370 4147407 4608230 5529876 6912345 7540740 8294814 9216460 13824690 16589628 20737035 27649380 41474070 82948140