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83131248 = 24310915889
BaseRepresentation
bin1001111010001…
…11101101110000
312210102111122010
410331013231300
5132240144443
612125442520
72026414104
oct475075560
9183374563
1083131248
1142a1a812
1223a10440
13142b86b5
14b07d904
157471733
hex4f47b70

83131248 has 40 divisors (see below), whose sum is σ = 216739600. Its totient is φ = 27454464.

The previous prime is 83131229. The next prime is 83131249. The reversal of 83131248 is 84213138.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83131249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2713 + ... + 13176.

It is an arithmetic number, because the mean of its divisors is an integer number (5418490).

Almost surely, 283131248 is an apocalyptic number.

It is an amenable number.

83131248 is an abundant number, since it is smaller than the sum of its proper divisors (133608352).

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

83131248 is a wasteful number, since it uses less digits than its factorization.

83131248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16009 (or 16003 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 83131248 is about 9117.6339035958. The cubic root of 83131248 is about 436.4368709786.

The spelling of 83131248 in words is "eighty-three million, one hundred thirty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2616 5232 15889 31778 47667 63556 95334 127112 190668 254224 381336 762672 1731901 3463802 5195703 6927604 10391406 13855208 20782812 27710416 41565624 83131248