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380573648 = 247131913757
BaseRepresentation
bin10110101011110…
…001011111010000
3222112010010220022
4112223301133100
51234411324043
6101433003012
712300552110
oct2653613720
9875103808
10380573648
11185907684
12a7553468
1360acc310
1438789040
1523627868
hex16af17d0

380573648 has 80 divisors (see below), whose sum is σ = 955355520. Its totient is φ = 142622208.

The previous prime is 380573647. The next prime is 380573671. The reversal of 380573648 is 846375083.

It is a junction number, because it is equal to n+sod(n) for n = 380573599 and 380573608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380573647) 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, 20786 + ... + 34542.

It is an arithmetic number, because the mean of its divisors is an integer number (11941944).

Almost surely, 2380573648 is an apocalyptic number.

380573648 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 380573648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477677760).

380573648 is an abundant number, since it is smaller than the sum of its proper divisors (574781872).

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

380573648 is a wasteful number, since it uses less digits than its factorization.

380573648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13804 (or 13798 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The square root of 380573648 is about 19508.2969015750. The cubic root of 380573648 is about 724.6799367259.

The spelling of 380573648 in words is "three hundred eighty million, five hundred seventy-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 152 182 208 247 266 304 364 494 532 728 988 1064 1456 1729 1976 2128 3458 3952 6916 13757 13832 27514 27664 55028 96299 110056 178841 192598 220112 261383 357682 385196 522766 715364 770392 1045532 1251887 1430728 1540784 1829681 2091064 2503774 2861456 3397979 3659362 4182128 5007548 6795958 7318724 10015096 13591916 14637448 20030192 23785853 27183832 29274896 47571706 54367664 95143412 190286824 380573648