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83047480 = 23519234751
BaseRepresentation
bin1001111001100…
…11010000111000
312210021020201121
410330303100320
5132230004410
612123555024
72025614635
oct474632070
9183236647
1083047480
114297288a
122398ba74
1314289529
14b05b18c
1574569da
hex4f33438

83047480 has 64 divisors (see below), whose sum is σ = 205286400. Its totient is φ = 30096000.

The previous prime is 83047421. The next prime is 83047483. The reversal of 83047480 is 8474038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83047483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15105 + ... + 19855.

It is an arithmetic number, because the mean of its divisors is an integer number (3207600).

Almost surely, 283047480 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 83047480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102643200).

83047480 is an abundant number, since it is smaller than the sum of its proper divisors (122238920).

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

83047480 is a wasteful number, since it uses less digits than its factorization.

83047480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 83047480 is about 9113.0390101217. The cubic root of 83047480 is about 436.2902284449.

The spelling of 83047480 in words is "eighty-three million, forty-seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 380 437 460 760 874 920 1748 2185 3496 4370 4751 8740 9502 17480 19004 23755 38008 47510 90269 95020 109273 180538 190040 218546 361076 437092 451345 546365 722152 874184 902690 1092730 1805380 2076187 2185460 3610760 4152374 4370920 8304748 10380935 16609496 20761870 41523740 83047480