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82971702 = 23411101461
BaseRepresentation
bin1001111001000…
…00110000110110
312210010101210000
410330200300312
5132220043302
612122212130
72025151002
oct474406066
9183111700
1082971702
1142920960
1223954046
1314260ba8
14b03b702
15743e31c
hex4f20c36

82971702 has 80 divisors (see below), whose sum is σ = 205272144. Its totient is φ = 24840000.

The previous prime is 82971701. The next prime is 82971709. The reversal of 82971702 is 20717928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82971701) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 179752 + ... + 180212.

Almost surely, 282971702 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82971702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102636072).

82971702 is an abundant number, since it is smaller than the sum of its proper divisors (122300442).

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

82971702 is a wasteful number, since it uses less digits than its factorization.

82971702 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 82971702 is about 9108.8803922326. The cubic root of 82971702 is about 436.1574880664.

It can be divided in two parts, 8297 and 1702, that added together give a palindrome (9999).

The spelling of 82971702 in words is "eighty-two million, nine hundred seventy-one thousand, seven hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 101 162 198 202 297 303 461 594 606 891 909 922 1111 1383 1782 1818 2222 2727 2766 3333 4149 5071 5454 6666 8181 8298 9999 10142 12447 15213 16362 19998 24894 29997 30426 37341 45639 46561 59994 74682 89991 91278 93122 136917 139683 179982 273834 279366 410751 419049 512171 821502 838098 1024342 1257147 1536513 2514294 3073026 3771441 4609539 7542882 9219078 13828617 27657234 41485851 82971702