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82428888 = 2335875851
BaseRepresentation
bin1001110100111…
…00001111011000
312202002211011210
410322130033120
5132100211023
612102423120
72020430313
oct472341730
9182084153
1082428888
1142590053
1223731aa0
1314100ab9
14ad3997a
157383593
hex4e9c3d8

82428888 has 32 divisors (see below), whose sum is σ = 206458560. Its totient is φ = 27424800.

The previous prime is 82428887. The next prime is 82428889. The reversal of 82428888 is 88882428.

It is an interprime number because it is at equal distance from previous prime (82428887) and next prime (82428889).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82428881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11163 + ... + 17013.

It is an arithmetic number, because the mean of its divisors is an integer number (6451830).

Almost surely, 282428888 is an apocalyptic number.

It is an amenable number.

82428888 is an abundant number, since it is smaller than the sum of its proper divisors (124029672).

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

82428888 is a wasteful number, since it uses less digits than its factorization.

82428888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6447 (or 6443 counting only the distinct ones).

The product of its digits is 524288, while the sum is 48.

The square root of 82428888 is about 9079.0356316076. The cubic root of 82428888 is about 435.2042692371.

The spelling of 82428888 in words is "eighty-two million, four hundred twenty-eight thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 587 1174 1761 2348 3522 4696 5851 7044 11702 14088 17553 23404 35106 46808 70212 140424 3434537 6869074 10303611 13738148 20607222 27476296 41214444 82428888