Search a number
-
+
422819040 = 25357217977
BaseRepresentation
bin11001001100111…
…011010011100000
31002110121102200110
4121030323103200
51331220202130
6105542251320
713322621400
oct3114732340
91073542613
10422819040
111a7741226
12b9726b40
13697a0ba7
1440224800
15271beab0
hex1933b4e0

422819040 has 144 divisors (see below), whose sum is σ = 1549415952. Its totient is φ = 96638976.

The previous prime is 422819039. The next prime is 422819063. The reversal of 422819040 is 40918224.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 422818989 and 422819007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14532 + ... + 32508.

It is an arithmetic number, because the mean of its divisors is an integer number (10759833).

Almost surely, 2422819040 is an apocalyptic number.

422819040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422819040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774707976).

422819040 is an abundant number, since it is smaller than the sum of its proper divisors (1126596912).

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

422819040 is a wasteful number, since it uses less digits than its factorization.

422819040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18009 (or 17994 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 422819040 is about 20562.5640424535. The cubic root of 422819040 is about 750.5590143449.

The spelling of 422819040 in words is "four hundred twenty-two million, eight hundred nineteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 70 80 84 96 98 105 112 120 140 147 160 168 196 210 224 240 245 280 294 336 392 420 480 490 560 588 672 735 784 840 980 1120 1176 1470 1568 1680 1960 2352 2940 3360 3920 4704 5880 7840 11760 17977 23520 35954 53931 71908 89885 107862 125839 143816 179770 215724 251678 269655 287632 359540 377517 431448 503356 539310 575264 629195 719080 755034 862896 880873 1006712 1078620 1258390 1438160 1510068 1725792 1761746 1887585 2013424 2157240 2516780 2642619 2876320 3020136 3523492 3775170 4026848 4314480 4404365 5033560 5285238 6040272 7046984 7550340 8628960 8808730 10067120 10570476 12080544 13213095 14093968 15100680 17617460 20134240 21140952 26426190 28187936 30201360 35234920 42281904 52852380 60402720 70469840 84563808 105704760 140939680 211409520 422819040