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381095008 = 25719151593
BaseRepresentation
bin10110101101110…
…000110001100000
3222120002122001221
4112231300301200
51240030020013
6101452104424
712305153110
oct2655606140
9876078057
10381095008
11186133358
12a7765114
1360c52708
1438883040
15236cc08d
hex16b70c60

381095008 has 96 divisors (see below), whose sum is σ = 910103040. Its totient is φ = 153446400.

The previous prime is 381094979. The next prime is 381095009. The reversal of 381095008 is 800590183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381095009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 642360 + ... + 642952.

It is an arithmetic number, because the mean of its divisors is an integer number (9480240).

Almost surely, 2381095008 is an apocalyptic number.

381095008 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 381095008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455051520).

381095008 is an abundant number, since it is smaller than the sum of its proper divisors (529008032).

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

381095008 is a wasteful number, since it uses less digits than its factorization.

381095008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 381095008 is about 19521.6548478862. The cubic root of 381095008 is about 725.0107064610.

The spelling of 381095008 in words is "three hundred eighty-one million, ninety-five thousand, eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 151 152 224 266 302 304 532 593 604 608 1057 1064 1186 1208 2114 2128 2372 2416 2869 4151 4228 4256 4744 4832 5738 8302 8456 9488 11267 11476 16604 16912 18976 20083 22534 22952 33208 33824 40166 45068 45904 66416 78869 80332 89543 90136 91808 132832 157738 160664 179086 180272 315476 321328 358172 360544 626801 630952 642656 716344 1253602 1261904 1432688 1701317 2507204 2523808 2865376 3402634 5014408 6805268 10028816 11909219 13610536 20057632 23818438 27221072 47636876 54442144 95273752 190547504 381095008