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381419528 = 23721983617
BaseRepresentation
bin10110101111000…
…000000000001000
3222120201010020012
4112233000000020
51240120411103
6101503051052
712311004200
oct2657000010
9876633205
10381419528
11186335156
12a78a0a88
1361037339
1438929400
15237432d8
hex16bc0008

381419528 has 96 divisors (see below), whose sum is σ = 887695200. Its totient is φ = 152748288.

The previous prime is 381419527. The next prime is 381419579. The reversal of 381419528 is 825914183.

It is not an unprimeable number, because it can be changed into a prime (381419527) 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, 617876 + ... + 618492.

It is an arithmetic number, because the mean of its divisors is an integer number (9246825).

Almost surely, 2381419528 is an apocalyptic number.

381419528 is a gapful number since it is divisible by the number (38) 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 381419528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443847600).

381419528 is an abundant number, since it is smaller than the sum of its proper divisors (506275672).

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

381419528 is a wasteful number, since it uses less digits than its factorization.

381419528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 728 counting only the distinct ones).

The product of its digits is 69120, while the sum is 41.

The square root of 381419528 is about 19529.9648745204. The cubic root of 381419528 is about 725.2164414414.

The spelling of 381419528 in words is "three hundred eighty-one million, four hundred nineteen thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 83 98 133 152 166 196 266 332 392 532 581 617 664 931 1064 1162 1234 1577 1862 2324 2468 3154 3724 4067 4319 4648 4936 6308 7448 8134 8638 11039 11723 12616 16268 17276 22078 23446 30233 32536 34552 44156 46892 51211 60466 77273 82061 88312 93784 102422 120932 154546 164122 204844 241864 309092 328244 358477 409688 574427 618184 656488 716954 973009 1148854 1433908 1946018 2297708 2509339 2867816 3892036 4595416 5018678 6811063 7784072 10037356 13622126 20074712 27244252 47677441 54488504 95354882 190709764 381419528