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1387966050 = 233522344701
BaseRepresentation
bin101001010111010…
…1010111001100010
310120201200222111000
41102232222321202
510320304403200
6345420532430
746252342152
oct12256527142
93521628430
101387966050
1165251a489
123289b1116
131917271b3
14d249c762
1581cb9300
hex52baae62

1387966050 has 96 divisors (see below), whose sum is σ = 3990994560. Its totient is φ = 354024000.

The previous prime is 1387966039. The next prime is 1387966117. The reversal of 1387966050 is 506697831.

It is a happy number.

1387966050 is a `hidden beast` number, since 1 + 38 + 7 + 9 + 6 + 605 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1387965987 and 1387966005.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8700 + ... + 53400.

It is an arithmetic number, because the mean of its divisors is an integer number (41572860).

Almost surely, 21387966050 is an apocalyptic number.

1387966050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1387966050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995497280).

1387966050 is an abundant number, since it is smaller than the sum of its proper divisors (2603028510).

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

1387966050 is a wasteful number, since it uses less digits than its factorization.

1387966050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44745 (or 44734 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1387966050 is about 37255.4163847353. The cubic root of 1387966050 is about 1115.4744172155.

The spelling of 1387966050 in words is "one billion, three hundred eighty-seven million, nine hundred sixty-six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 90 115 135 138 150 207 225 230 270 345 414 450 575 621 675 690 1035 1150 1242 1350 1725 2070 3105 3450 5175 6210 10350 15525 31050 44701 89402 134103 223505 268206 402309 447010 670515 804618 1028123 1117525 1206927 1341030 2011545 2056246 2235050 2413854 3084369 3352575 4023090 5140615 6034635 6168738 6705150 9253107 10057725 10281230 12069270 15421845 18506214 20115450 25703075 27759321 30173175 30843690 46265535 51406150 55518642 60346350 77109225 92531070 138796605 154218450 231327675 277593210 462655350 693983025 1387966050