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82770702 = 2373371087
BaseRepresentation
bin1001110111011…
…11101100001110
312202202012001120
410323233230032
5132142130302
612114021410
72023353000
oct473575416
9182665046
1082770702
11427a3943
1223877866
13141c0561
14adc8370
1573ee9bc
hex4eefb0e

82770702 has 64 divisors (see below), whose sum is σ = 198451200. Its totient is φ = 22988448.

The previous prime is 82770691. The next prime is 82770731. The reversal of 82770702 is 20707728.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 75603 + ... + 76689.

It is an arithmetic number, because the mean of its divisors is an integer number (3100800).

Almost surely, 282770702 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82770702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99225600).

82770702 is an abundant number, since it is smaller than the sum of its proper divisors (115680498).

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

82770702 is a wasteful number, since it uses less digits than its factorization.

82770702 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 82770702 is about 9097.8405130009. The cubic root of 82770702 is about 435.8050042661.

The spelling of 82770702 in words is "eighty-two million, seven hundred seventy thousand, seven hundred two".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 343 518 686 777 1029 1087 1554 1813 2058 2174 3261 3626 5439 6522 7609 10878 12691 15218 22827 25382 38073 40219 45654 53263 76146 80438 106526 120657 159789 241314 281533 319578 372841 563066 745682 844599 1118523 1689198 1970731 2237046 3941462 5912193 11824386 13795117 27590234 41385351 82770702