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381726048 = 253112231621
BaseRepresentation
bin10110110000001…
…010110101100000
3222121021200200210
4112300022311200
51240210213143
6101513414120
712313421634
oct2660126540
9877250623
10381726048
11186524480
12a7a0a340
1361113a02
14389a8dc4
15237a4033
hex16c0ad60

381726048 has 96 divisors (see below), whose sum is σ = 1098703872. Its totient is φ = 115084800.

The previous prime is 381726029. The next prime is 381726049. The reversal of 381726048 is 840627183.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 381725997 and 381726015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381726049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234678 + ... + 236298.

It is an arithmetic number, because the mean of its divisors is an integer number (11444832).

Almost surely, 2381726048 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 381726048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549351936).

381726048 is an abundant number, since it is smaller than the sum of its proper divisors (716977824).

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

381726048 is a wasteful number, since it uses less digits than its factorization.

381726048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 381726048 is about 19537.8107268957. The cubic root of 381726048 is about 725.4106578765.

The spelling of 381726048 in words is "three hundred eighty-one million, seven hundred twenty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 223 264 352 446 528 669 892 1056 1338 1621 1784 2453 2676 3242 3568 4863 4906 5352 6484 7136 7359 9726 9812 10704 12968 14718 17831 19452 19624 21408 25936 29436 35662 38904 39248 51872 53493 58872 71324 77808 78496 106986 117744 142648 155616 213972 235488 285296 361483 427944 570592 722966 855888 1084449 1445932 1711776 2168898 2891864 3976313 4337796 5783728 7952626 8675592 11567456 11928939 15905252 17351184 23857878 31810504 34702368 47715756 63621008 95431512 127242016 190863024 381726048