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82848416 = 257252837
BaseRepresentation
bin1001111000000…
…10101010100000
312202220010122212
410330002222200
5132202122131
612115421252
72024125400
oct474025240
9182803585
1082848416
1142847272
12238b4828
1314219a41
14b008800
157417a2b
hex4f02aa0

82848416 has 36 divisors (see below), whose sum is σ = 189741258. Its totient is φ = 35505792.

The previous prime is 82848391. The next prime is 82848433. The reversal of 82848416 is 61484828.

It can be written as a sum of positive squares in only one way, i.e., 82810000 + 38416 = 9100^2 + 196^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24851 + ... + 27986.

Almost surely, 282848416 is an apocalyptic number.

It is an amenable number.

82848416 is an abundant number, since it is smaller than the sum of its proper divisors (106892842).

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

82848416 is a wasteful number, since it uses less digits than its factorization.

82848416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52861 (or 52846 counting only the distinct ones).

The product of its digits is 98304, while the sum is 41.

The square root of 82848416 is about 9102.1105244883. The cubic root of 82848416 is about 435.9413550727.

The spelling of 82848416 in words is "eighty-two million, eight hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 52837 105674 211348 369859 422696 739718 845392 1479436 1690784 2589013 2958872 5178026 5917744 10356052 11835488 20712104 41424208 82848416