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838232064 = 2113431163
BaseRepresentation
bin110001111101100…
…110100000000000
32011102021121020000
4301331212200000
53204041411224
6215102120000
726525566155
oct6175464000
92142247200
10838232064
113a018417a
121b4880000
1310487ab07
147d47c22c
154d8ca0c9
hex31f66800

838232064 has 240 divisors, whose sum is σ = 2600357760. Its totient is φ = 268738560.

The previous prime is 838232041. The next prime is 838232081. The reversal of 838232064 is 460232838.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5142447 + ... + 5142609.

It is an arithmetic number, because the mean of its divisors is an integer number (10834824).

Almost surely, 2838232064 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 838232064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300178880).

838232064 is an abundant number, since it is smaller than the sum of its proper divisors (1762125696).

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

838232064 is a wasteful number, since it uses less digits than its factorization.

838232064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 838232064 is about 28952.2376337305. The cubic root of 838232064 is about 942.8763802450.

The spelling of 838232064 in words is "eight hundred thirty-eight million, two hundred thirty-two thousand, sixty-four".