Search a number
-
+
380992800 = 25352158747
BaseRepresentation
bin10110101101010…
…111110100100000
3222112220102212110
4112231113310200
51240013232200
6101445555320
712304246116
oct2655276440
9875812773
10380992800
11186073591
12a7715b40
1360c18036
1438857ab6
15236abb50
hex16b57d20

380992800 has 72 divisors (see below), whose sum is σ = 1240139376. Its totient is φ = 101597440.

The previous prime is 380992793. The next prime is 380992813. The reversal of 380992800 is 8299083.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76974 + ... + 81773.

It is an arithmetic number, because the mean of its divisors is an integer number (17224158).

Almost surely, 2380992800 is an apocalyptic number.

380992800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380992800 is an abundant number, since it is smaller than the sum of its proper divisors (859146576).

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

380992800 is a wasteful number, since it uses less digits than its factorization.

380992800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158770 (or 158757 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 380992800 is about 19519.0368614847. The cubic root of 380992800 is about 724.9458857747.

The spelling of 380992800 in words is "three hundred eighty million, nine hundred ninety-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 158747 317494 476241 634988 793735 952482 1269976 1587470 1904964 2381205 2539952 3174940 3809928 3968675 4762410 5079904 6349880 7619856 7937350 9524820 11906025 12699760 15239712 15874700 19049640 23812050 25399520 31749400 38099280 47624100 63498800 76198560 95248200 126997600 190496400 380992800