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381527468 = 227411093049
BaseRepresentation
bin10110101111011…
…010010110101100
3222120220121021222
4112233122112230
51240132334333
6101505242512
712311633660
oct2657322654
9876817258
10381527468
111863a9263
12a7933438
13610744ca
14389568a0
1523765298
hex16bda5ac

381527468 has 48 divisors (see below), whose sum is σ = 789096000. Its totient is φ = 158008320.

The previous prime is 381527441. The next prime is 381527477. The reversal of 381527468 is 864725183.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123608 + ... + 126656.

It is an arithmetic number, because the mean of its divisors is an integer number (16439500).

Almost surely, 2381527468 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 381527468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394548000).

381527468 is an abundant number, since it is smaller than the sum of its proper divisors (407568532).

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

381527468 is a wasteful number, since it uses less digits than its factorization.

381527468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 3208 counting only the distinct ones).

The product of its digits is 322560, while the sum is 44.

The square root of 381527468 is about 19532.7281248678. The cubic root of 381527468 is about 725.2848459792.

The spelling of 381527468 in words is "three hundred eighty-one million, five hundred twenty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 28 41 82 109 164 218 287 436 574 763 1148 1526 3049 3052 4469 6098 8938 12196 17876 21343 31283 42686 62566 85372 125009 125132 250018 332341 500036 664682 875063 1329364 1750126 2326387 3500252 4652774 9305548 13625981 27251962 54503924 95381867 190763734 381527468