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804393414 = 2321131113063
BaseRepresentation
bin101111111100100…
…001000111000110
32002001121102022200
4233330201013012
53121411042124
6211452535330
725635142206
oct5774410706
92061542280
10804393414
11383071750
121a5481546
13ca860846
1478b90406
154a943bc9
hex2ff211c6

804393414 has 48 divisors (see below), whose sum is σ = 1907553024. Its totient is φ = 242953200.

The previous prime is 804393413. The next prime is 804393451. The reversal of 804393414 is 414393408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804393413) 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, 55047 + ... + 68109.

It is an arithmetic number, because the mean of its divisors is an integer number (39740688).

Almost surely, 2804393414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804393414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953776512).

804393414 is an abundant number, since it is smaller than the sum of its proper divisors (1103159610).

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

804393414 is a wasteful number, since it uses less digits than its factorization.

804393414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13393 (or 13390 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 804393414 is about 28361.8302300821. The cubic root of 804393414 is about 930.0140337806.

The spelling of 804393414 in words is "eight hundred four million, three hundred ninety-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 311 622 933 1866 2799 3421 5598 6842 10263 13063 20526 26126 30789 39189 61578 78378 117567 143693 235134 287386 431079 862158 1293237 2586474 4062593 8125186 12187779 24375558 36563337 44688523 73126674 89377046 134065569 268131138 402196707 804393414