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385198880 = 25511297547
BaseRepresentation
bin10110111101011…
…010101100100000
3222211211010112012
4112331122230200
51242102331010
6102120052052
712355064543
oct2675325440
9884733465
10385198880
11188486690
12a9004028
1361a5b641
143923085a
1523c3d005
hex16f5ab20

385198880 has 96 divisors (see below), whose sum is σ = 1027131840. Its totient is φ = 135224320.

The previous prime is 385198873. The next prime is 385198883. The reversal of 385198880 is 88891583.

It is not an unprimeable number, because it can be changed into a prime (385198883) 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, 47267 + ... + 54813.

It is an arithmetic number, because the mean of its divisors is an integer number (10699290).

Almost surely, 2385198880 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 385198880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513565920).

385198880 is an abundant number, since it is smaller than the sum of its proper divisors (641932960).

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

385198880 is a wasteful number, since it uses less digits than its factorization.

385198880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7602 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 50.

The square root of 385198880 is about 19626.4841477021. The cubic root of 385198880 is about 727.6038782085.

The spelling of 385198880 in words is "three hundred eighty-five million, one hundred ninety-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 32 40 44 55 58 80 88 110 116 145 160 176 220 232 290 319 352 440 464 580 638 880 928 1160 1276 1595 1760 2320 2552 3190 4640 5104 6380 7547 10208 12760 15094 25520 30188 37735 51040 60376 75470 83017 120752 150940 166034 218863 241504 301880 332068 415085 437726 603760 664136 830170 875452 1094315 1207520 1328272 1660340 1750904 2188630 2407493 2656544 3320680 3501808 4377260 4814986 6641360 7003616 8754520 9629972 12037465 13282720 17509040 19259944 24074930 35018080 38519888 48149860 77039776 96299720 192599440 385198880