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859007380 = 2257111992803
BaseRepresentation
bin110011001100110…
…110100110010100
32012212101002121011
4303030312212110
53224401214010
6221123302004
730200304460
oct6314664624
92185332534
10859007380
11400983a60
121bb81a904
13108c730ba
14821294a0
1550630a8a
hex33336994

859007380 has 96 divisors (see below), whose sum is σ = 2261145600. Its totient is φ = 266302080.

The previous prime is 859007377. The next prime is 859007393. The reversal of 859007380 is 83700958.

859007380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305059 + ... + 307861.

It is an arithmetic number, because the mean of its divisors is an integer number (23553600).

Almost surely, 2859007380 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 859007380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130572800).

859007380 is an abundant number, since it is smaller than the sum of its proper divisors (1402138220).

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

859007380 is a wasteful number, since it uses less digits than its factorization.

859007380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 859007380 is about 29308.8276804106. The cubic root of 859007380 is about 950.6025282056.

The spelling of 859007380 in words is "eight hundred fifty-nine million, seven thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 199 220 308 385 398 770 796 995 1393 1540 1990 2189 2786 2803 3980 4378 5572 5606 6965 8756 10945 11212 13930 14015 15323 19621 21890 27860 28030 30646 30833 39242 43780 56060 61292 61666 76615 78484 98105 123332 153230 154165 196210 215831 306460 308330 392420 431662 557797 616660 863324 1079155 1115594 2158310 2231188 2788985 3904579 4316620 5577970 6135767 7809158 11155940 12271534 15618316 19522895 24543068 30678835 39045790 42950369 61357670 78091580 85900738 122715340 171801476 214751845 429503690 859007380