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82708344 = 2333478147
BaseRepresentation
bin1001110111000…
…00011101111000
312202122000112000
410323200131320
5132133131334
612112421000
72023003125
oct473403570
9182560460
1082708344
1142761004
1223847760
131419b064
14adad74c
1573db299
hex4ee0778

82708344 has 64 divisors (see below), whose sum is σ = 234662400. Its totient is φ = 26979552.

The previous prime is 82708337. The next prime is 82708363. The reversal of 82708344 is 44380728.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82708299 and 82708308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6079 + ... + 14225.

It is an arithmetic number, because the mean of its divisors is an integer number (3666600).

Almost surely, 282708344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82708344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117331200).

82708344 is an abundant number, since it is smaller than the sum of its proper divisors (151954056).

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

82708344 is a wasteful number, since it uses less digits than its factorization.

82708344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8209 (or 8199 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 82708344 is about 9094.4127902795. The cubic root of 82708344 is about 435.6955341465.

The spelling of 82708344 in words is "eighty-two million, seven hundred eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2538 3384 5076 8147 10152 16294 24441 32588 48882 65176 73323 97764 146646 195528 219969 293292 382909 439938 586584 765818 879876 1148727 1531636 1759752 2297454 3063272 3446181 4594908 6892362 9189816 10338543 13784724 20677086 27569448 41354172 82708344