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82935780 = 22357917497
BaseRepresentation
bin1001111000101…
…11111111100100
312210001120111120
410330113333210
5132212421110
612121333540
72024641164
oct474277744
9183046446
1082935780
11428a6974
12239372b0
131424a735
14b02c5a4
157433870
hex4f17fe4

82935780 has 48 divisors (see below), whose sum is σ = 235173120. Its totient is φ = 21835008.

The previous prime is 82935773. The next prime is 82935781. The reversal of 82935780 is 8753928.

It is not an unprimeable number, because it can be changed into a prime (82935781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4009 + ... + 13488.

It is an arithmetic number, because the mean of its divisors is an integer number (4899440).

Almost surely, 282935780 is an apocalyptic number.

It is an amenable number.

82935780 is an abundant number, since it is smaller than the sum of its proper divisors (152237340).

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

82935780 is a wasteful number, since it uses less digits than its factorization.

82935780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17588 (or 17586 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 82935780 is about 9106.9083667291. The cubic root of 82935780 is about 436.0945352343.

The spelling of 82935780 in words is "eighty-two million, nine hundred thirty-five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 237 316 395 474 790 948 1185 1580 2370 4740 17497 34994 52491 69988 87485 104982 174970 209964 262455 349940 524910 1049820 1382263 2764526 4146789 5529052 6911315 8293578 13822630 16587156 20733945 27645260 41467890 82935780