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83332332 = 2232831672
BaseRepresentation
bin1001111011110…
…00110011101100
312210210201110200
410331320303230
5132313113312
612134033500
72031212256
oct475706354
9183721420
1083332332
11430478a6
1223aa8890
1314359095
14b0d2cd6
1574b10dc
hex4f78cec

83332332 has 54 divisors (see below), whose sum is σ = 214467708. Its totient is φ = 27278448.

The previous prime is 83332331. The next prime is 83332343. The reversal of 83332332 is 23323338.

It is a junction number, because it is equal to n+sod(n) for n = 83332296 and 83332305.

It is not an unprimeable number, because it can be changed into a prime (83332331) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 498913 + ... + 499079.

Almost surely, 283332332 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 83332332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107233854).

83332332 is an abundant number, since it is smaller than the sum of its proper divisors (131135376).

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

83332332 is a wasteful number, since it uses less digits than its factorization.

83332332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 255 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 83332332 is about 9128.6544463026. The cubic root of 83332332 is about 436.7884828707.

The spelling of 83332332 in words is "eighty-three million, three hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 167 249 332 334 498 501 668 747 996 1002 1494 1503 2004 2988 3006 6012 13861 27722 27889 41583 55444 55778 83166 83667 111556 124749 166332 167334 249498 251001 334668 498996 502002 1004004 2314787 4629574 6944361 9259148 13888722 20833083 27777444 41666166 83332332