Search a number
-
+
422908128 = 2534167977
BaseRepresentation
bin11001001101010…
…001000011100000
31002110202221220000
4121031101003200
51331231030003
6105544220000
713323442206
oct3115210340
91073687800
10422908128
111a77a2155
12b976a600
13698025c6
1440249076
15271db1a3
hex193510e0

422908128 has 120 divisors (see below), whose sum is σ = 1252489392. Its totient is φ = 139981824.

The previous prime is 422908117. The next prime is 422908141. The reversal of 422908128 is 821809224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 422908092 and 422908101.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 432376 + ... + 433352.

Almost surely, 2422908128 is an apocalyptic number.

422908128 is a gapful number since it is divisible by the number (48) 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 422908128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626244696).

422908128 is an abundant number, since it is smaller than the sum of its proper divisors (829581264).

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

422908128 is a wasteful number, since it uses less digits than its factorization.

422908128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 422908128 is about 20564.7301951667. The cubic root of 422908128 is about 750.6117249212.

The spelling of 422908128 in words is "four hundred twenty-two million, nine hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 167 216 288 324 334 432 501 648 668 864 977 1002 1296 1336 1503 1954 2004 2592 2672 2931 3006 3908 4008 4509 5344 5862 6012 7816 8016 8793 9018 11724 12024 13527 15632 16032 17586 18036 23448 24048 26379 27054 31264 35172 36072 46896 48096 52758 54108 70344 72144 79137 93792 105516 108216 140688 144288 158274 163159 211032 216432 281376 316548 326318 422064 432864 489477 633096 652636 844128 978954 1266192 1305272 1468431 1957908 2532384 2610544 2936862 3915816 4405293 5221088 5873724 7831632 8810586 11747448 13215879 15663264 17621172 23494896 26431758 35242344 46989792 52863516 70484688 105727032 140969376 211454064 422908128