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82643694 = 2372401701
BaseRepresentation
bin1001110110100…
…00101011101110
312202111201211120
410323100223232
5132124044234
612111201410
72022313500
oct473205356
9182451746
1082643694
1142717481
1223816266
13141777c3
14ad93d70
1573c7049
hex4ed0aee

82643694 has 48 divisors (see below), whose sum is σ = 193027536. Its totient is φ = 23520000.

The previous prime is 82643689. The next prime is 82643699. The reversal of 82643694 is 49634628.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82643689) and next prime (82643699).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82643699) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117544 + ... + 118244.

It is an arithmetic number, because the mean of its divisors is an integer number (4021407).

Almost surely, 282643694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82643694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96513768).

82643694 is an abundant number, since it is smaller than the sum of its proper divisors (110383842).

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

82643694 is a wasteful number, since it uses less digits than its factorization.

82643694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1114 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 82643694 is about 9090.8577153094. The cubic root of 82643694 is about 435.5819822873.

The spelling of 82643694 in words is "eighty-two million, six hundred forty-three thousand, six hundred ninety-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 401 701 802 1203 1402 2103 2406 2807 4206 4907 5614 8421 9814 14721 16842 19649 29442 34349 39298 58947 68698 103047 117894 206094 281101 562202 843303 1686606 1967707 3935414 5903121 11806242 13773949 27547898 41321847 82643694