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82660440 = 23352923753
BaseRepresentation
bin1001110110101…
…00110001011000
312202112120210210
410323110301120
5132130113230
612111411120
72022413352
oct473246130
9182476723
1082660440
1142729015
1223823aa0
1314182305
14ad9a0d2
1573cbeb0
hex4ed4c58

82660440 has 64 divisors (see below), whose sum is σ = 256543200. Its totient is φ = 21281792.

The previous prime is 82660439. The next prime is 82660453. The reversal of 82660440 is 4406628.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 82660398 and 82660407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8397 + ... + 15356.

Almost surely, 282660440 is an apocalyptic number.

It is an amenable number.

82660440 is an abundant number, since it is smaller than the sum of its proper divisors (173882760).

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

82660440 is a wasteful number, since it uses less digits than its factorization.

82660440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23796 (or 23792 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 82660440 is about 9091.7787038621. The cubic root of 82660440 is about 435.6114007983.

The spelling of 82660440 in words is "eighty-two million, six hundred sixty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 23753 47506 71259 95012 118765 142518 190024 237530 285036 356295 475060 570072 688837 712590 950120 1377674 1425180 2066511 2755348 2850360 3444185 4133022 5510696 6888370 8266044 10332555 13776740 16532088 20665110 27553480 41330220 82660440