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82330416 = 2432781677
BaseRepresentation
bin1001110100001…
…00001100110000
312201220211002200
410322010030300
5132034033131
612100343200
72016540240
oct472041460
9181824080
1082330416
1142523073
12236a4b00
131409802c
14ad11b20
1573642e6
hex4e84330

82330416 has 60 divisors (see below), whose sum is σ = 263329872. Its totient is φ = 23522688.

The previous prime is 82330411. The next prime is 82330421. The reversal of 82330416 is 61403328.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82330411) and next prime (82330421).

It is a self number, because there is not a number n which added to its sum of digits gives 82330416.

It is not an unprimeable number, because it can be changed into a prime (82330411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39831 + ... + 41846.

Almost surely, 282330416 is an apocalyptic number.

It is an amenable number.

82330416 is an abundant number, since it is smaller than the sum of its proper divisors (180999456).

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

82330416 is a wasteful number, since it uses less digits than its factorization.

82330416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81698 (or 81689 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 82330416 is about 9073.6109680766. The cubic root of 82330416 is about 435.0308975279.

The spelling of 82330416 in words is "eighty-two million, three hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 81677 163354 245031 326708 490062 571739 653416 735093 980124 1143478 1306832 1470186 1715217 1960248 2286956 2940372 3430434 3920496 4573912 5145651 5880744 6860868 9147824 10291302 11761488 13721736 20582604 27443472 41165208 82330416