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380775648 = 253111133191
BaseRepresentation
bin10110101100100…
…010110011100000
3222112111101222210
4112230202303200
51234434310043
6101441202120
712302353041
oct2654426340
9875441883
10380775648
11185a35420
12a7630340
1360b70246
14387dc8c8
1523667633
hex16b22ce0

380775648 has 96 divisors (see below), whose sum is σ = 1100397312. Its totient is φ = 114329600.

The previous prime is 380775641. The next prime is 380775667. The reversal of 380775648 is 846577083.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 380775597 and 380775606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380775641) 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, 117733 + ... + 120923.

It is an arithmetic number, because the mean of its divisors is an integer number (11462472).

Almost surely, 2380775648 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 380775648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550198656).

380775648 is an abundant number, since it is smaller than the sum of its proper divisors (719621664).

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

380775648 is a wasteful number, since it uses less digits than its factorization.

380775648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3328 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 380775648 is about 19513.4734990980. The cubic root of 380775648 is about 724.8081286946.

The spelling of 380775648 in words is "three hundred eighty million, seven hundred seventy-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 113 132 176 226 264 339 352 452 528 678 904 1056 1243 1356 1808 2486 2712 3191 3616 3729 4972 5424 6382 7458 9573 9944 10848 12764 14916 19146 19888 25528 29832 35101 38292 39776 51056 59664 70202 76584 102112 105303 119328 140404 153168 210606 280808 306336 360583 421212 561616 721166 842424 1081749 1123232 1442332 1684848 2163498 2884664 3369696 3966413 4326996 5769328 7932826 8653992 11538656 11899239 15865652 17307984 23798478 31731304 34615968 47596956 63462608 95193912 126925216 190387824 380775648