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381823500 = 22353457557
BaseRepresentation
bin10110110000100…
…010101000001100
3222121110122101010
4112300202220030
51240221323000
6101515445220
712314306022
oct2660425014
9877418333
10381823500
11186590713
12a7a56810
1361149186
14389d2712
15237c2d50
hex16c22a0c

381823500 has 96 divisors (see below), whose sum is σ = 1116303552. Its totient is φ = 101414400.

The previous prime is 381823493. The next prime is 381823513. The reversal of 381823500 is 5328183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 685222 + ... + 685778.

It is an arithmetic number, because the mean of its divisors is an integer number (11628162).

Almost surely, 2381823500 is an apocalyptic number.

381823500 is a gapful number since it is divisible by the number (30) 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 381823500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558151776).

381823500 is an abundant number, since it is smaller than the sum of its proper divisors (734480052).

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

381823500 is a wasteful number, since it uses less digits than its factorization.

381823500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 381823500 is about 19540.3045012098. The cubic root of 381823500 is about 725.4723833861.

The spelling of 381823500 in words is "three hundred eighty-one million, eight hundred twenty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 457 500 557 750 914 1114 1371 1500 1671 1828 2228 2285 2742 2785 3342 4570 5484 5570 6684 6855 8355 9140 11140 11425 13710 13925 16710 22850 27420 27850 33420 34275 41775 45700 55700 57125 68550 69625 83550 114250 137100 139250 167100 171375 208875 228500 254549 278500 342750 417750 509098 685500 763647 835500 1018196 1272745 1527294 2545490 3054588 3818235 5090980 6363725 7636470 12727450 15272940 19091175 25454900 31818625 38182350 63637250 76364700 95455875 127274500 190911750 381823500