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83396040 = 233572131091
BaseRepresentation
bin1001111100010…
…00010111001000
312210220221212020
410332020113020
5132322133130
612135244440
72031566100
oct476102710
9183827766
1083396040
1143090752
1223b19720
131437c090
14b10c200
1574c4e10
hex4f885c8

83396040 has 192 divisors, whose sum is σ = 313709760. Its totient is φ = 17579520.

The previous prime is 83396021. The next prime is 83396057. The reversal of 83396040 is 4069338.

It is a junction number, because it is equal to n+sod(n) for n = 83395992 and 83396010.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75895 + ... + 76985.

It is an arithmetic number, because the mean of its divisors is an integer number (1633905).

Almost surely, 283396040 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 83396040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

83396040 is an abundant number, since it is smaller than the sum of its proper divisors (230313720).

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

83396040 is a wasteful number, since it uses less digits than its factorization.

83396040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 83396040 is about 9132.1432314654. The cubic root of 83396040 is about 436.8997635374.

The spelling of 83396040 in words is "eighty-three million, three hundred ninety-six thousand, forty".