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381672756 = 223325713751
BaseRepresentation
bin10110101111111…
…101110100110100
3222121011222121000
4112233331310310
51240202012011
6101512323300
712313110363
oct2657756464
9877158530
10381672756
11186498433
12a79a3530
13610c568a
14389937da
1523793356
hex16bfdd34

381672756 has 48 divisors (see below), whose sum is σ = 993444480. Its totient is φ = 126720000.

The previous prime is 381672743. The next prime is 381672757. The reversal of 381672756 is 657276183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381672757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20881 + ... + 34631.

It is an arithmetic number, because the mean of its divisors is an integer number (20696760).

Almost surely, 2381672756 is an apocalyptic number.

381672756 is a gapful number since it is divisible by the number (36) 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 381672756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496722240).

381672756 is an abundant number, since it is smaller than the sum of its proper divisors (611771724).

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

381672756 is a wasteful number, since it uses less digits than its factorization.

381672756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14021 (or 14013 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 381672756 is about 19536.4468622112. The cubic root of 381672756 is about 725.3768986014.

The spelling of 381672756 in words is "three hundred eighty-one million, six hundred seventy-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 257 514 771 1028 1542 2313 3084 4626 6939 9252 13751 13878 27502 27756 41253 55004 82506 123759 165012 247518 371277 495036 742554 1485108 3534007 7068014 10602021 14136028 21204042 31806063 42408084 63612126 95418189 127224252 190836378 381672756