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863388990 = 23355575741
BaseRepresentation
bin110011011101100…
…100010100111110
32020011121201001000
4303131210110332
53232011421430
6221401231130
730252454032
oct6335442476
92204551030
10863388990
114033a6a22
122011924a6
13109b48579
148294a1c2
1550be8e60
hex3376453e

863388990 has 64 divisors (see below), whose sum is σ = 2306905920. Its totient is φ = 229783680.

The previous prime is 863388983. The next prime is 863388997. The reversal of 863388990 is 99883368.

It is an interprime number because it is at equal distance from previous prime (863388983) and next prime (863388997).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863388997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147520 + ... + 153260.

It is an arithmetic number, because the mean of its divisors is an integer number (36045405).

Almost surely, 2863388990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 863388990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153452960).

863388990 is an abundant number, since it is smaller than the sum of its proper divisors (1443516930).

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

863388990 is a wasteful number, since it uses less digits than its factorization.

863388990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6314 (or 6308 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 863388990 is about 29383.4815840465. The cubic root of 863388990 is about 952.2160601984.

The spelling of 863388990 in words is "eight hundred sixty-three million, three hundred eighty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 557 1114 1671 2785 3342 5013 5570 5741 8355 10026 11482 15039 16710 17223 25065 28705 30078 34446 50130 51669 57410 75195 86115 103338 150390 155007 172230 258345 310014 516690 775035 1550070 3197737 6395474 9593211 15988685 19186422 28779633 31977370 47966055 57559266 86338899 95932110 143898165 172677798 287796330 431694495 863388990