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804053142 = 23437532531
BaseRepresentation
bin101111111011001…
…110000010010110
32002000222010120000
4233323032002112
53121314200032
6211441352130
725632224154
oct5773160226
92060863500
10804053142
1138295a032
121a5338646
13ca7719b9
1478b023d4
154a8c7e7c
hex2fece096

804053142 has 80 divisors (see below), whose sum is σ = 1886026032. Its totient is φ = 255752640.

The previous prime is 804053141. The next prime is 804053147. The reversal of 804053142 is 241350408.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804053141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 316417 + ... + 318947.

Almost surely, 2804053142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804053142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943013016).

804053142 is an abundant number, since it is smaller than the sum of its proper divisors (1081972890).

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

804053142 is a wasteful number, since it uses less digits than its factorization.

804053142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 804053142 is about 28355.8308289494. The cubic root of 804053142 is about 929.8828780705.

The spelling of 804053142 in words is "eight hundred four million, fifty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 53 54 74 81 106 111 159 162 222 318 333 477 666 954 999 1431 1961 1998 2531 2862 2997 3922 4293 5062 5883 5994 7593 8586 11766 15186 17649 22779 35298 45558 52947 68337 93647 105894 134143 136674 158841 187294 205011 268286 280941 317682 402429 410022 561882 804858 842823 1207287 1685646 2414574 2528469 3621861 4963291 5056938 7243722 7585407 9926582 10865583 14889873 15170814 21731166 29779746 44669619 89339238 134008857 268017714 402026571 804053142