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801919053 = 3213171932089
BaseRepresentation
bin101111110011000…
…101000001001101
32001212221201010200
4233303011001031
53120242402203
6211323524113
725605125265
oct5763050115
92055851120
10801919053
11381731721
121a4689639
13ca1a5520
14787087a5
154a6059a3
hex2fcc504d

801919053 has 48 divisors (see below), whose sum is σ = 1328286960. Its totient is φ = 461832192.

The previous prime is 801919051. The next prime is 801919099. The reversal of 801919053 is 350919108.

It is a happy number.

801919053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 915849 + 801003204 = 957^2 + 28302^2 .

It is not a de Polignac number, because 801919053 - 21 = 801919051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 801918999 and 801919017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801919051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382833 + ... + 384921.

It is an arithmetic number, because the mean of its divisors is an integer number (27672645).

Almost surely, 2801919053 is an apocalyptic number.

It is an amenable number.

801919053 is a deficient number, since it is larger than the sum of its proper divisors (526367907).

801919053 is a wasteful number, since it uses less digits than its factorization.

801919053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 801919053 is about 28318.1753119794. The cubic root of 801919053 is about 929.0594618895.

It can be divided in two parts, 8019 and 19053, that added together give a palindrome (27072).

The spelling of 801919053 in words is "eight hundred one million, nine hundred nineteen thousand, fifty-three".

Divisors: 1 3 9 13 17 39 51 117 153 193 221 579 663 1737 1989 2089 2509 3281 6267 7527 9843 18801 22581 27157 29529 35513 42653 81471 106539 127959 244413 319617 383877 403177 461669 1209531 1385007 3628593 4155021 5241301 6854009 15723903 20562027 47171709 61686081 89102117 267306351 801919053