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2040056928 = 2536713312
BaseRepresentation
bin111100110011000…
…1100110001100000
312021011201122000000
41321212030301200
513134223310203
6534233300000
7101361124560
oct17146146140
95234648000
102040056928
11957616a68
1248b264600
13266860aa0
14154d24da0
15be1764a3
hex7998cc60

2040056928 has 504 divisors, whose sum is σ = 7658222544. Its totient is φ = 520680960.

The previous prime is 2040056911. The next prime is 2040056957. The reversal of 2040056928 is 8296500402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2040056892 and 2040056901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 65808273 + ... + 65808303.

It is an arithmetic number, because the mean of its divisors is an integer number (15194886).

Almost surely, 22040056928 is an apocalyptic number.

2040056928 is a gapful number since it is divisible by the number (28) 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 2040056928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829111272).

2040056928 is an abundant number, since it is smaller than the sum of its proper divisors (5618165616).

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

2040056928 is an equidigital number, since it uses as much as digits as its factorization.

2040056928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2040056928 is about 45166.9893617009. The cubic root of 2040056928 is about 1268.2769383199.

The spelling of 2040056928 in words is "two billion, forty million, fifty-six thousand, nine hundred twenty-eight".