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82647096 = 23372373293
BaseRepresentation
bin1001110110100…
…01100000111000
312202111220111120
410323101200320
5132124201341
612111225240
72022326430
oct473214070
9182456446
1082647096
1142719a94
1223818220
131417920c
14ad952c0
1573c8066
hex4ed1838

82647096 has 128 divisors (see below), whose sum is σ = 250629120. Its totient is φ = 22201344.

The previous prime is 82647083. The next prime is 82647101. The reversal of 82647096 is 69074628.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281926 + ... + 282218.

It is an arithmetic number, because the mean of its divisors is an integer number (1958040).

Almost surely, 282647096 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 82647096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125314560).

82647096 is an abundant number, since it is smaller than the sum of its proper divisors (167982024).

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

82647096 is a wasteful number, since it uses less digits than its factorization.

82647096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 82647096 is about 9091.0448244412. The cubic root of 82647096 is about 435.5879590675.

The spelling of 82647096 in words is "eighty-two million, six hundred forty-seven thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 73 84 92 138 146 161 168 184 219 276 292 293 322 438 483 511 552 584 586 644 876 879 966 1022 1172 1288 1533 1679 1752 1758 1932 2044 2051 2344 3066 3358 3516 3864 4088 4102 5037 6132 6153 6716 6739 7032 8204 10074 11753 12264 12306 13432 13478 16408 20148 20217 21389 23506 24612 26956 35259 40296 40434 42778 47012 47173 49224 53912 64167 70518 80868 85556 94024 94346 128334 141036 141519 149723 161736 171112 188692 256668 282072 283038 299446 377384 449169 491947 513336 566076 598892 898338 983894 1132152 1197784 1475841 1796676 1967788 2951682 3443629 3593352 3935576 5903364 6887258 10330887 11806728 13774516 20661774 27549032 41323548 82647096