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82908448 = 2572912763
BaseRepresentation
bin1001111000100…
…01010100100000
312210000012000021
410330101110200
5132211032243
612121003224
72024465410
oct474212440
9183005007
1082908448
1142888387
1223923514
131423b16c
14b022640
15742a6ed
hex4f11520

82908448 has 48 divisors (see below), whose sum is σ = 192991680. Its totient is φ = 34304256.

The previous prime is 82908431. The next prime is 82908461. The reversal of 82908448 is 84480928.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115 + ... + 12877.

It is an arithmetic number, because the mean of its divisors is an integer number (4020660).

Almost surely, 282908448 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 82908448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96495840).

82908448 is an abundant number, since it is smaller than the sum of its proper divisors (110083232).

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

82908448 is a wasteful number, since it uses less digits than its factorization.

82908448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12809 (or 12801 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 82908448 is about 9105.4076240441. The cubic root of 82908448 is about 436.0466240857.

The spelling of 82908448 in words is "eighty-two million, nine hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 6496 12763 25526 51052 89341 102104 178682 204208 357364 370127 408416 714728 740254 1429456 1480508 2590889 2858912 2961016 5181778 5922032 10363556 11844064 20727112 41454224 82908448