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385051050 = 233522312401
BaseRepresentation
bin10110111100110…
…110100110101010
3222211112121202000
4112330312212222
51242033113200
6102112551430
712353610546
oct2674664652
9884477660
10385051050
1118839560a
12a8b52576
1361a09277
14391d2a26
1523c0e300
hex16f369aa

385051050 has 96 divisors (see below), whose sum is σ = 1107250560. Its totient is φ = 98208000.

The previous prime is 385050937. The next prime is 385051061. The reversal of 385051050 is 50150583.

It is a super-2 number, since 2×3850510502 = 296528622212205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24850 + ... + 37250.

It is an arithmetic number, because the mean of its divisors is an integer number (11533860).

Almost surely, 2385051050 is an apocalyptic number.

385051050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 385051050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553625280).

385051050 is an abundant number, since it is smaller than the sum of its proper divisors (722199510).

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

385051050 is a wasteful number, since it uses less digits than its factorization.

385051050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12445 (or 12434 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 385051050 is about 19622.7177016844. The cubic root of 385051050 is about 727.5107873839.

The spelling of 385051050 in words is "three hundred eighty-five million, fifty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 90 115 135 138 150 207 225 230 270 345 414 450 575 621 675 690 1035 1150 1242 1350 1725 2070 3105 3450 5175 6210 10350 12401 15525 24802 31050 37203 62005 74406 111609 124010 186015 223218 285223 310025 334827 372030 558045 570446 620050 669654 855669 930075 1116090 1426115 1674135 1711338 1860150 2567007 2790225 2852230 3348270 4278345 5134014 5580450 7130575 7701021 8370675 8556690 12835035 14261150 15402042 16741350 21391725 25670070 38505105 42783450 64175175 77010210 128350350 192525525 385051050