Search a number
-
+
422635136 = 27711137313
BaseRepresentation
bin11001001100001…
…110011010000000
31002110021002102012
4121030032122000
51331143311021
6105534312052
713321224260
oct3114163200
91073232365
10422635136
111a7626040
12b9658628
1369738281
14401b77a0
152718535b
hex1930e680

422635136 has 128 divisors (see below), whose sum is σ = 1060767360. Its totient is φ = 162938880.

The previous prime is 422635117. The next prime is 422635141. The reversal of 422635136 is 631536224.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1350116 + ... + 1350428.

It is an arithmetic number, because the mean of its divisors is an integer number (8287245).

Almost surely, 2422635136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422635136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530383680).

422635136 is an abundant number, since it is smaller than the sum of its proper divisors (638132224).

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

422635136 is a wasteful number, since it uses less digits than its factorization.

422635136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 470 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 422635136 is about 20558.0917402370. The cubic root of 422635136 is about 750.4501806920.

The spelling of 422635136 in words is "four hundred twenty-two million, six hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 137 154 176 224 274 308 313 352 448 548 616 626 704 896 959 1096 1232 1252 1408 1507 1918 2191 2192 2464 2504 3014 3443 3836 4382 4384 4928 5008 6028 6886 7672 8764 8768 9856 10016 10549 12056 13772 15344 17528 17536 20032 21098 24101 24112 27544 30688 35056 40064 42196 42881 48202 48224 55088 61376 70112 84392 85762 96404 96448 110176 122752 140224 168784 171524 192808 192896 220352 280448 300167 337568 343048 385616 440704 471691 600334 675136 686096 771232 943382 1200668 1350272 1372192 1542464 1886764 2401336 2744384 3084928 3301837 3773528 4802672 5488768 6603674 7547056 9605344 13207348 15094112 19210688 26414696 30188224 38421376 52829392 60376448 105658784 211317568 422635136