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382750128 = 243210724841
BaseRepresentation
bin10110110100000…
…100110110110000
3222200012201110200
4112310010312300
51240441001003
6101551355200
712325215405
oct2664046660
9880181420
10382750128
11187063922
12a8222b00
13613b1b87
1438b942ac
15239076a3
hex16d04db0

382750128 has 60 divisors (see below), whose sum is σ = 1081223208. Its totient is φ = 126385920.

The previous prime is 382750127. The next prime is 382750133. The reversal of 382750128 is 821057283.

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 = 382750092 and 382750101.

It is not an unprimeable number, because it can be changed into a prime (382750127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2988 + ... + 27828.

Almost surely, 2382750128 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 382750128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540611604).

382750128 is an abundant number, since it is smaller than the sum of its proper divisors (698473080).

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

382750128 is a wasteful number, since it uses less digits than its factorization.

382750128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24962 (or 24953 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 382750128 is about 19564.0008178286. Note that the first 3 decimals coincide. The cubic root of 382750128 is about 726.0587799322.

The spelling of 382750128 in words is "three hundred eighty-two million, seven hundred fifty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5136 7704 15408 24841 49682 74523 99364 149046 198728 223569 298092 397456 447138 596184 894276 1192368 1788552 2657987 3577104 5315974 7973961 10631948 15947922 21263896 23921883 31895844 42527792 47843766 63791688 95687532 127583376 191375064 382750128