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839142045 = 33573132837
BaseRepresentation
bin110010000001000…
…100101010011101
32011110222211111000
4302001010222131
53204310021140
6215133420513
726536406160
oct6201045235
92143884430
10839142045
113a0745925
121b503a739
13104b09071
147d637ad7
154da09a30
hex32044a9d

839142045 has 64 divisors (see below), whose sum is σ = 1710973440. Its totient is φ = 382247424.

The previous prime is 839142023. The next prime is 839142061. The reversal of 839142045 is 540241938.

It is not a de Polignac number, because 839142045 - 25 = 839142013 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294367 + ... + 297203.

It is an arithmetic number, because the mean of its divisors is an integer number (26733960).

Almost surely, 2839142045 is an apocalyptic number.

It is an amenable number.

839142045 is an abundant number, since it is smaller than the sum of its proper divisors (871831395).

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

839142045 is a wasteful number, since it uses less digits than its factorization.

839142045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171 (or 3165 counting only the distinct ones).

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

The square root of 839142045 is about 28967.9485811474. The cubic root of 839142045 is about 943.2174509879.

It can be divided in two parts, 839 and 142045, that added together give a square (142884 = 3782).

The spelling of 839142045 in words is "eight hundred thirty-nine million, one hundred forty-two thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 313 315 939 945 1565 2191 2817 2837 4695 6573 8451 8511 10955 14085 14185 19719 19859 25533 32865 42255 42555 59157 59577 76599 98595 99295 127665 178731 295785 297885 382995 536193 887981 893655 2663943 2680965 4439905 6215867 7991829 13319715 18647601 23975487 31079335 39959145 55942803 93238005 119877435 167828409 279714015 839142045