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82335280 = 2451029191
BaseRepresentation
bin1001110100001…
…01011000110000
312201221001202211
410322011120300
5132034212110
612100421504
72016560356
oct472053060
9181831684
1082335280
1142526795
12236a7894
131409a301
14ad137d6
15736598a
hex4e85630

82335280 has 20 divisors (see below), whose sum is σ = 191429712. Its totient is φ = 32934080.

The previous prime is 82335277. The next prime is 82335283. The reversal of 82335280 is 8253328.

It is an interprime number because it is at equal distance from previous prime (82335277) and next prime (82335283).

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (82335283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 514516 + ... + 514675.

Almost surely, 282335280 is an apocalyptic number.

82335280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82335280 is an abundant number, since it is smaller than the sum of its proper divisors (109094432).

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

82335280 is a wasteful number, since it uses less digits than its factorization.

82335280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029204 (or 1029198 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 82335280 is about 9073.8789941237. The cubic root of 82335280 is about 435.0394644250.

The spelling of 82335280 in words is "eighty-two million, three hundred thirty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1029191 2058382 4116764 5145955 8233528 10291910 16467056 20583820 41167640 82335280