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805142016 = 29327109229
BaseRepresentation
bin101111111111010…
…111111000000000
32002010000110012200
4233333113320000
53122104021031
6211520553200
725644410550
oct5777277000
92063013180
10805142016
11383533128
121a5782800
13caa634c3
1478d07160
154aa408e6
hex2ffd7e00

805142016 has 240 divisors, whose sum is σ = 2691717600. Its totient is φ = 226934784.

The previous prime is 805141949. The next prime is 805142021. The reversal of 805142016 is 610241508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3515790 + ... + 3516018.

It is an arithmetic number, because the mean of its divisors is an integer number (11215490).

Almost surely, 2805142016 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 805142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345858800).

805142016 is an abundant number, since it is smaller than the sum of its proper divisors (1886575584).

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

805142016 is a wasteful number, since it uses less digits than its factorization.

805142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 805142016 is about 28375.0245110026. The cubic root of 805142016 is about 930.3024475887.

The spelling of 805142016 in words is "eight hundred five million, one hundred forty-two thousand, sixteen".