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378682050 = 23523123771
BaseRepresentation
bin10110100100100…
…011101011000010
3222101120001010010
4112210203223002
51233420311200
6101324245350
712245513205
oct2644435302
9871501103
10378682050
1118483547a
12a69a0856
13605b9326
143841593c
15233a2150
hex16923ac2

378682050 has 144 divisors (see below), whose sum is σ = 1010667456. Its totient is φ = 93744000.

The previous prime is 378682049. The next prime is 378682067. The reversal of 378682050 is 50286873.

378682050 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 5333515 + ... + 5333585.

It is an arithmetic number, because the mean of its divisors is an integer number (7018524).

Almost surely, 2378682050 is an apocalyptic number.

378682050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 378682050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505333728).

378682050 is an abundant number, since it is smaller than the sum of its proper divisors (631985406).

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

378682050 is a wasteful number, since it uses less digits than its factorization.

378682050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 378682050 is about 19459.7546233245. The cubic root of 378682050 is about 723.4772956089.

The spelling of 378682050 in words is "three hundred seventy-eight million, six hundred eighty-two thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 37 50 62 71 74 75 93 111 142 150 155 185 186 213 222 310 355 370 426 465 555 710 775 925 930 961 1065 1110 1147 1550 1775 1850 1922 2130 2201 2294 2325 2627 2775 2883 3441 3550 4402 4650 4805 5254 5325 5550 5735 5766 6603 6882 7881 9610 10650 11005 11470 13135 13206 14415 15762 17205 22010 24025 26270 28675 28830 33015 34410 35557 39405 48050 55025 57350 65675 66030 68231 71114 72075 78810 81437 86025 106671 110050 131350 136462 144150 162874 165075 172050 177785 197025 204693 213342 244311 330150 341155 355570 394050 407185 409386 488622 533355 682310 814370 888925 1023465 1066710 1221555 1705775 1777850 2035925 2046930 2443110 2524547 2666775 3411550 4071850 5049094 5117325 5333550 6107775 7573641 10234650 12215550 12622735 15147282 25245470 37868205 63113675 75736410 126227350 189341025 378682050