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80393040 = 24335713409
BaseRepresentation
bin1001100101010…
…11001101010000
312121021101112000
410302223031100
5131040034130
611551034000
71664221020
oct462531520
9177241460
1080393040
114141a532
1222b0b900
131386a260
14a969a80
1570d0260
hex4cab350

80393040 has 320 divisors, whose sum is σ = 341644800. Its totient is φ = 16920576.

The previous prime is 80393039. The next prime is 80393057. The reversal of 80393040 is 4039308.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 80392995 and 80393013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196356 + ... + 196764.

It is an arithmetic number, because the mean of its divisors is an integer number (1067640).

Almost surely, 280393040 is an apocalyptic number.

80393040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80393040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170822400).

80393040 is an abundant number, since it is smaller than the sum of its proper divisors (261251760).

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

80393040 is a wasteful number, since it uses less digits than its factorization.

80393040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 80393040 is about 8966.2165934133. The cubic root of 80393040 is about 431.5914347076.

The spelling of 80393040 in words is "eighty million, three hundred ninety-three thousand, forty".