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82434740 = 2254121737
BaseRepresentation
bin1001110100111…
…01101010110100
312202010010012112
410322131222310
5132100402430
612102510152
72020453343
oct472355264
9182103175
1082434740
1142594493
1223735358
131410366b
14ad3bb5a
157385195
hex4e9dab4

82434740 has 12 divisors (see below), whose sum is σ = 173112996. Its totient is φ = 32973888.

The previous prime is 82434727. The next prime is 82434761. The reversal of 82434740 is 4743428.

It can be written as a sum of positive squares in 2 ways, for example, as 33686416 + 48748324 = 5804^2 + 6982^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 82434697 and 82434706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2060849 + ... + 2060888.

It is an arithmetic number, because the mean of its divisors is an integer number (14426083).

Almost surely, 282434740 is an apocalyptic number.

It is an amenable number.

82434740 is an abundant number, since it is smaller than the sum of its proper divisors (90678256).

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

82434740 is a wasteful number, since it uses less digits than its factorization.

82434740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4121746 (or 4121744 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 82434740 is about 9079.3579068126. The cubic root of 82434740 is about 435.2145680339.

The spelling of 82434740 in words is "eighty-two million, four hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 4121737 8243474 16486948 20608685 41217370 82434740