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378283050 = 232523892161
BaseRepresentation
bin10110100011000…
…010010000101010
3222100210202210100
4112203002100222
51233320024200
6101311530230
712242232015
oct2643022052
9870722710
10378283050
11184592722
12a6829976
13604a9832
143835037c
1523323d00
hex168c242a

378283050 has 72 divisors (see below), whose sum is σ = 1019404620. Its totient is φ = 100569600.

The previous prime is 378283033. The next prime is 378283069. The reversal of 378283050 is 50382873.

378283050 is a `hidden beast` number, since 378 + 283 + 0 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 109683729 + 268599321 = 10473^2 + 16389^2 .

It is a junction number, because it is equal to n+sod(n) for n = 378282996 and 378283014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173970 + ... + 176130.

Almost surely, 2378283050 is an apocalyptic number.

378283050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 19449×19450.

It is a practical number, because each smaller number is the sum of distinct divisors of 378283050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509702310).

378283050 is an abundant number, since it is smaller than the sum of its proper divisors (641121570).

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

378283050 is a wasteful number, since it uses less digits than its factorization.

378283050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2568 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 378283050 is about 19449.4999935731. The cubic root of 378283050 is about 723.2231079726.

The spelling of 378283050 in words is "three hundred seventy-eight million, two hundred eighty-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 389 450 778 1167 1945 2161 2334 3501 3890 4322 5835 6483 7002 9725 10805 11670 12966 17505 19449 19450 21610 29175 32415 35010 38898 54025 58350 64830 87525 97245 108050 162075 175050 194490 324150 486225 840629 972450 1681258 2521887 4203145 5043774 7565661 8406290 12609435 15131322 21015725 25218870 37828305 42031450 63047175 75656610 126094350 189141525 378283050