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8050896 = 243273163
BaseRepresentation
bin11110101101100011010000
3120011000202100
4132231203100
54030112041
6444320400
7125301000
oct36554320
916130670
108050896
1145a9837
122843100
13188b659
1410d8000
15a906b6
hex7ad8d0

8050896 has 120 divisors (see below), whose sum is σ = 26436800. Its totient is φ = 2286144.

The previous prime is 8050891. The next prime is 8050919. The reversal of 8050896 is 6980508.

8050896 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8050896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8050891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49311 + ... + 49473.

Almost surely, 28050896 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 8050896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13218400).

8050896 is an abundant number, since it is smaller than the sum of its proper divisors (18385904).

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

8050896 is a wasteful number, since it uses less digits than its factorization.

8050896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8050896 is about 2837.4100866812. The cubic root of 8050896 is about 200.4232370535.

The spelling of 8050896 in words is "eight million, fifty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 163 168 196 252 294 326 336 343 392 441 489 504 588 652 686 784 882 978 1008 1029 1141 1176 1304 1372 1467 1764 1956 2058 2282 2352 2608 2744 2934 3087 3423 3528 3912 4116 4564 5488 5868 6174 6846 7056 7824 7987 8232 9128 10269 11736 12348 13692 15974 16464 18256 20538 23472 23961 24696 27384 31948 41076 47922 49392 54768 55909 63896 71883 82152 95844 111818 127792 143766 164304 167727 191688 223636 287532 335454 383376 447272 503181 575064 670908 894544 1006362 1150128 1341816 2012724 2683632 4025448 8050896