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893423040 = 26352343941
BaseRepresentation
bin110101010000001…
…000110111000000
32022021010121000020
4311100020313000
53312204014130
6224353053440
731065653616
oct6520106700
92267117006
10893423040
1141934aa54
1220b257280
13113132bb3
14869276b6
155367ce10
hex35408dc0

893423040 has 224 divisors, whose sum is σ = 3032004096. Its totient is φ = 222351360.

The previous prime is 893423009. The next prime is 893423057. The reversal of 893423040 is 40324398.

It is a junction number, because it is equal to n+sod(n) for n = 893422992 and 893423010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948970 + ... + 949910.

Almost surely, 2893423040 is an apocalyptic number.

893423040 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 893423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516002048).

893423040 is an abundant number, since it is smaller than the sum of its proper divisors (2138581056).

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

893423040 is a wasteful number, since it uses less digits than its factorization.

893423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 893423040 is about 29890.1830037891. The cubic root of 893423040 is about 963.1317860251.

The spelling of 893423040 in words is "eight hundred ninety-three million, four hundred twenty-three thousand, forty".