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838041601 = 3722649773
BaseRepresentation
bin110001111100111…
…000000000000001
32011101220220221211
4301330320000001
53204014312401
6215054050121
726524143655
oct6174700001
92141826854
10838041601
113a0064071
121b47a9941
13104812207
147d42ca65
154d88d951
hex31f38001

838041601 has 4 divisors (see below), whose sum is σ = 860691412. Its totient is φ = 815391792.

The previous prime is 838041587. The next prime is 838041619. The reversal of 838041601 is 106140838.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 696907201 + 141134400 = 26399^2 + 11880^2 .

It is not a de Polignac number, because 838041601 - 27 = 838041473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (838041641) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 11324850 + ... + 11324923.

It is an arithmetic number, because the mean of its divisors is an integer number (215172853).

It is a Proth number, since it is equal to 25575 ⋅ 215 + 1 and 25575 < 215.

Almost surely, 2838041601 is an apocalyptic number.

It is an amenable number.

838041601 is a deficient number, since it is larger than the sum of its proper divisors (22649811).

838041601 is a wasteful number, since it uses less digits than its factorization.

838041601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22649810.

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 838041601 is about 28948.9481846923. The cubic root of 838041601 is about 942.8049614121.

The spelling of 838041601 in words is "eight hundred thirty-eight million, forty-one thousand, six hundred one".

Divisors: 1 37 22649773 838041601