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389464848 = 2435109919
BaseRepresentation
bin10111001101101…
…100001100010000
31000010211212100000
4113031230030100
51244200333343
6102351330000
712436253013
oct2715541420
91003755300
10389464848
1118a92a783
12aa520900
13628c3296
1439a2137a
15242d1ed3
hex1736c310

389464848 has 120 divisors (see below), whose sum is σ = 1141940800. Its totient is φ = 128490624.

The previous prime is 389464843. The next prime is 389464871. The reversal of 389464848 is 848464983.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 389464794 and 389464803.

It is not an unprimeable number, because it can be changed into a prime (389464843) 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 23 ways as a sum of consecutive naturals, for example, 423333 + ... + 424251.

Almost surely, 2389464848 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 389464848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570970400).

389464848 is an abundant number, since it is smaller than the sum of its proper divisors (752475952).

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

389464848 is a wasteful number, since it uses less digits than its factorization.

389464848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1033 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 389464848 is about 19734.8637694817. The cubic root of 389464848 is about 730.2800251774.

The spelling of 389464848 in words is "three hundred eighty-nine million, four hundred sixty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 109 144 162 216 218 243 324 327 432 436 486 648 654 872 919 972 981 1296 1308 1744 1838 1944 1962 2616 2757 2943 3676 3888 3924 5232 5514 5886 7352 7848 8271 8829 11028 11772 14704 15696 16542 17658 22056 23544 24813 26487 33084 35316 44112 47088 49626 52974 66168 70632 74439 99252 100171 105948 132336 141264 148878 198504 200342 211896 223317 297756 300513 397008 400684 423792 446634 595512 601026 801368 893268 901539 1191024 1202052 1602736 1786536 1803078 2404104 2704617 3573072 3606156 4808208 5409234 7212312 8113851 10818468 14424624 16227702 21636936 24341553 32455404 43273872 48683106 64910808 97366212 129821616 194732424 389464848