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82702004 = 22721189431
BaseRepresentation
bin1001110110111…
…10111010110100
312202121200211012
410323132322310
5132132431004
612112331352
72022645500
oct473367264
9182550735
1082702004
1142757270
1223843b58
13141981c8
14adab300
1573d946e
hex4edeeb4

82702004 has 72 divisors (see below), whose sum is σ = 186157440. Its totient is φ = 31785600.

The previous prime is 82702001. The next prime is 82702013. The reversal of 82702004 is 40020728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82702001) 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 23 ways as a sum of consecutive naturals, for example, 191669 + ... + 192099.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 282702004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82702004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93078720).

82702004 is an abundant number, since it is smaller than the sum of its proper divisors (103455436).

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

82702004 is a wasteful number, since it uses less digits than its factorization.

82702004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 82702004 is about 9094.0642179391. The cubic root of 82702004 is about 435.6844011292.

The spelling of 82702004 in words is "eighty-two million, seven hundred two thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 89 98 154 178 196 308 356 431 539 623 862 979 1078 1246 1724 1958 2156 2492 3017 3916 4361 4741 6034 6853 8722 9482 12068 13706 17444 18964 21119 27412 33187 38359 42238 47971 66374 76718 84476 95942 132748 153436 191884 232309 268513 421949 464618 537026 843898 929236 1074052 1687796 1879591 2953643 3759182 5907286 7518364 11814572 20675501 41351002 82702004