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82323408 = 2434159709
BaseRepresentation
bin1001110100000…
…10011111010000
312201220110111010
410322002133100
5132033322113
612100250520
72016510636
oct472023720
9181813433
1082323408
1142518882
12236a0a40
1314094a9b
14ad0d356
1573621c3
hex4e827d0

82323408 has 80 divisors (see below), whose sum is σ = 221860800. Its totient is φ = 26280960.

The previous prime is 82323407. The next prime is 82323419. The reversal of 82323408 is 80432328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82323403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115758 + ... + 116466.

It is an arithmetic number, because the mean of its divisors is an integer number (2773260).

Almost surely, 282323408 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 82323408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110930400).

82323408 is an abundant number, since it is smaller than the sum of its proper divisors (139537392).

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

82323408 is a wasteful number, since it uses less digits than its factorization.

82323408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 82323408 is about 9073.2247850475. The cubic root of 82323408 is about 435.0185538394.

The spelling of 82323408 in words is "eighty-two million, three hundred twenty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 59 82 118 123 164 177 236 246 328 354 472 492 656 708 709 944 984 1416 1418 1968 2127 2419 2832 2836 4254 4838 5672 7257 8508 9676 11344 14514 17016 19352 29028 29069 34032 38704 41831 58056 58138 83662 87207 116112 116276 125493 167324 174414 232552 250986 334648 348828 465104 501972 669296 697656 1003944 1395312 1715071 2007888 3430142 5145213 6860284 10290426 13720568 20580852 27441136 41161704 82323408