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423082128 = 24371724357
BaseRepresentation
bin11001001101111…
…011100010010000
31002111002210120110
4121031323202100
51331302112003
6105552041320
713325065410
oct3115734220
91074083513
10423082128
111a7900957
12b9833240
1369863871
1440292640
1527222a03
hex1937b890

423082128 has 120 divisors (see below), whose sum is σ = 1327202752. Its totient is φ = 113743872.

The previous prime is 423082061. The next prime is 423082129. The reversal of 423082128 is 821280324.

It is a junction number, because it is equal to n+sod(n) for n = 423082095 and 423082104.

It is not an unprimeable number, because it can be changed into a prime (423082129) 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, 94926 + ... + 99282.

Almost surely, 2423082128 is an apocalyptic number.

423082128 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 423082128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663601376).

423082128 is an abundant number, since it is smaller than the sum of its proper divisors (904120624).

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

423082128 is a wasteful number, since it uses less digits than its factorization.

423082128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4409 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 423082128 is about 20568.9603043032. The cubic root of 423082128 is about 750.7146539212.

The spelling of 423082128 in words is "four hundred twenty-three million, eighty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 289 336 357 408 476 578 714 816 867 952 1156 1428 1734 1904 2023 2312 2856 3468 4046 4357 4624 5712 6069 6936 8092 8714 12138 13071 13872 16184 17428 24276 26142 30499 32368 34856 48552 52284 60998 69712 74069 91497 97104 104568 121996 148138 182994 209136 222207 243992 296276 365988 444414 487984 518483 592552 731976 888828 1036966 1185104 1259173 1463952 1555449 1777656 2073932 2518346 3110898 3555312 3777519 4147864 5036692 6221796 7555038 8295728 8814211 10073384 12443592 15110076 17628422 20146768 24887184 26442633 30220152 35256844 52885266 60440304 70513688 105770532 141027376 211541064 423082128