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1000385092 = 227233594327
BaseRepresentation
bin111011101000001…
…010101001000100
32120201101211100201
4323220022221010
54022044310332
6243133420244
733535063420
oct7350125104
92521354321
101000385092
11473767143
1223b03a684
1312c343555
1496c0bb80
155cc5a5e7
hex3ba0aa44

1000385092 has 48 divisors (see below), whose sum is σ = 2094059520. Its totient is φ = 408858912.

The previous prime is 1000385081. The next prime is 1000385147. The reversal of 1000385092 is 2905830001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1000385092.

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 15 ways as a sum of consecutive naturals, for example, 229033 + ... + 233359.

It is an arithmetic number, because the mean of its divisors is an integer number (43626240).

Almost surely, 21000385092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000385092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047029760).

1000385092 is an abundant number, since it is smaller than the sum of its proper divisors (1093674428).

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

1000385092 is a wasteful number, since it uses less digits than its factorization.

1000385092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 1000385092 is about 31628.8648547494. The cubic root of 1000385092 is about 1000.1283475262.

The spelling of 1000385092 in words is "one billion, three hundred eighty-five thousand, ninety-two".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 359 644 718 1436 2513 4327 5026 8257 8654 10052 16514 17308 30289 33028 57799 60578 99521 115598 121156 199042 231196 398084 696647 1393294 1553393 2786588 3106786 6213572 10873751 21747502 35728039 43495004 71456078 142912156 250096273 500192546 1000385092