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838151028 = 22321121319241
BaseRepresentation
bin110001111101010…
…010101101110100
32011102010111001200
4301331102231310
53204031313103
6215100252500
726525111001
oct6175225564
92142114050
10838151028
113a0129300
121b4841130
1310484cc70
147d45a8a8
154d8b10a3
hex31f52b74

838151028 has 324 divisors, whose sum is σ = 2711410884. Its totient is φ = 216691200.

The previous prime is 838151023. The next prime is 838151029. The reversal of 838151028 is 820151838.

It can be written as a sum of positive squares in 2 ways, for example, as 77053284 + 761097744 = 8778^2 + 27588^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 838150983 and 838151001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838151023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20442688 + ... + 20442728.

Almost surely, 2838151028 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 838151028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355705442).

838151028 is an abundant number, since it is smaller than the sum of its proper divisors (1873259856).

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

838151028 is a wasteful number, since it uses less digits than its factorization.

838151028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 838151028 is about 28950.8381225829. The cubic root of 838151028 is about 942.8459951063.

The spelling of 838151028 in words is "eight hundred thirty-eight million, one hundred fifty-one thousand, twenty-eight".