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802298952 = 2333751317
BaseRepresentation
bin101111110100100…
…001110001001000
32001220200000021000
4233310201301020
53120342031302
6211340015000
725611300000
oct5764416110
92056600230
10802298952
11381971094
121a4831460
13ca2a9410
14787a7000
154a67d31c
hex2fd21c48

802298952 has 384 divisors, whose sum is σ = 2964729600. Its totient is φ = 199148544.

The previous prime is 802298951. The next prime is 802298953. The reversal of 802298952 is 259892208.

It is an interprime number because it is at equal distance from previous prime (802298951) and next prime (802298953).

It is a junction number, because it is equal to n+sod(n) for n = 802298898 and 802298907.

It is not an unprimeable number, because it can be changed into a prime (802298951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47194048 + ... + 47194064.

It is an arithmetic number, because the mean of its divisors is an integer number (7720650).

Almost surely, 2802298952 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 802298952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482364800).

802298952 is an abundant number, since it is smaller than the sum of its proper divisors (2162430648).

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

802298952 is a wasteful number, since it uses less digits than its factorization.

802298952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 802298952 is about 28324.8822062864. The cubic root of 802298952 is about 929.2061487813.

The spelling of 802298952 in words is "eight hundred two million, two hundred ninety-eight thousand, nine hundred fifty-two".