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382061856 = 253112311061
BaseRepresentation
bin10110110001011…
…100110100100000
3222121220202100010
4112301130310200
51240301434411
6101524524520
712316320651
oct2661346440
9877822303
10382061856
11186733800
12a7b50740
1361200807
1438a55528
152381d7a6
hex16c5cd20

382061856 has 144 divisors (see below), whose sum is σ = 1139007744. Its totient is φ = 111936000.

The previous prime is 382061851. The next prime is 382061857. The reversal of 382061856 is 658160283.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (382061851) 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 23 ways as a sum of consecutive naturals, for example, 359566 + ... + 360626.

It is an arithmetic number, because the mean of its divisors is an integer number (7909776).

Almost surely, 2382061856 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 382061856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569503872).

382061856 is an abundant number, since it is smaller than the sum of its proper divisors (756945888).

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

382061856 is a wasteful number, since it uses less digits than its factorization.

382061856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 382061856 is about 19546.4026357793. The cubic root of 382061856 is about 725.6233123935.

The spelling of 382061856 in words is "three hundred eighty-two million, sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 121 124 132 176 186 242 248 264 341 352 363 372 484 496 528 682 726 744 968 992 1023 1056 1061 1364 1452 1488 1936 2046 2122 2728 2904 2976 3183 3751 3872 4092 4244 5456 5808 6366 7502 8184 8488 10912 11253 11616 11671 12732 15004 16368 16976 22506 23342 25464 30008 32736 32891 33952 35013 45012 46684 50928 60016 65782 70026 90024 93368 98673 101856 120032 128381 131564 140052 180048 186736 197346 256762 263128 280104 360096 361801 373472 385143 394692 513524 526256 560208 723602 770286 789384 1027048 1052512 1085403 1120416 1447204 1540572 1578768 2054096 2170806 2894408 3081144 3157536 3979811 4108192 4341612 5788816 6162288 7959622 8683224 11577632 11939433 12324576 15919244 17366448 23878866 31838488 34732896 47757732 63676976 95515464 127353952 191030928 382061856