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804638142 = 232711289593
BaseRepresentation
bin101111111101011…
…100110110111110
32002002001212000200
4233331130312332
53121441410032
6211502104330
725640211540
oct5775346676
92062055020
10804638142
11383219600
121a557b0a6
13ca918059
1478c15690
154a99147c
hex2ff5cdbe

804638142 has 144 divisors (see below), whose sum is σ = 2218376160. Its totient is φ = 206300160.

The previous prime is 804638137. The next prime is 804638207. The reversal of 804638142 is 241836408.

804638142 is a `hidden beast` number, since 8 + 0 + 4 + 638 + 14 + 2 = 666.

It is a super-2 number, since 2×8046381422 = 1294885079122424328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 804638097 and 804638106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1356598 + ... + 1357190.

It is an arithmetic number, because the mean of its divisors is an integer number (15405390).

Almost surely, 2804638142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804638142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109188080).

804638142 is an abundant number, since it is smaller than the sum of its proper divisors (1413738018).

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

804638142 is a wasteful number, since it uses less digits than its factorization.

804638142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 804638142 is about 28366.1442920958. The cubic root of 804638142 is about 930.1083397892.

The spelling of 804638142 in words is "eight hundred four million, six hundred thirty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 89 99 121 126 154 178 198 231 242 267 363 462 534 593 623 693 726 801 847 979 1089 1186 1246 1386 1602 1694 1779 1869 1958 2178 2541 2937 3558 3738 4151 5082 5337 5607 5874 6523 6853 7623 8302 8811 10674 10769 11214 12453 13046 13706 15246 17622 19569 20559 21538 24906 32307 37359 39138 41118 45661 52777 58707 61677 64614 71753 74718 75383 91322 96921 105554 117414 123354 136983 143506 150766 158331 193842 215259 226149 273966 316662 369439 410949 430518 452298 474993 502271 580547 645777 678447 738878 821898 949986 1004542 1108317 1161094 1291554 1356894 1506813 1741641 2216634 3013626 3324951 3483282 4063829 4520439 5224923 6386017 6649902 8127658 9040878 10449846 12191487 12772034 19158051 24382974 36574461 38316102 44702119 57474153 73148922 89404238 114948306 134106357 268212714 402319071 804638142