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82248448 = 281718899
BaseRepresentation
bin1001110011100…
…00001100000000
312201202122122211
410321300030000
5132023422243
612054511504
72016046252
oct471601400
9181678584
1082248448
1142477527
1223665594
1314069929
14accdcd2
157349d9d
hex4e70300

82248448 has 36 divisors (see below), whose sum is σ = 173842200. Its totient is φ = 38703104.

The previous prime is 82248427. The next prime is 82248469. The reversal of 82248448 is 84484228.

It is an interprime number because it is at equal distance from previous prime (82248427) and next prime (82248469).

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

It is a self number, because there is not a number n which added to its sum of digits gives 82248448.

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, 5098 + ... + 13801.

It is an arithmetic number, because the mean of its divisors is an integer number (4828950).

Almost surely, 282248448 is an apocalyptic number.

It is an amenable number.

82248448 is an abundant number, since it is smaller than the sum of its proper divisors (91593752).

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

82248448 is a wasteful number, since it uses less digits than its factorization.

82248448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18932 (or 18918 counting only the distinct ones).

The product of its digits is 131072, while the sum is 40.

The square root of 82248448 is about 9069.0930086751. The cubic root of 82248448 is about 434.8864776210.

The spelling of 82248448 in words is "eighty-two million, two hundred forty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 18899 37798 75596 151192 302384 321283 604768 642566 1209536 1285132 2419072 2570264 4838144 5140528 10281056 20562112 41124224 82248448