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128383398 = 232111349877
BaseRepresentation
bin1111010011011…
…11100110100110
322221120112220200
413221233212212
5230331232043
620423411330
73116145423
oct751574646
9287515820
10128383398
1166518390
1236bb3b46
13207a0a10
141309cd4a
15b40e7d3
hex7a6f9a6

128383398 has 48 divisors (see below), whose sum is σ = 326800656. Its totient is φ = 35910720.

The previous prime is 128383393. The next prime is 128383403. The reversal of 128383398 is 893383821.

It is an interprime number because it is at equal distance from previous prime (128383393) and next prime (128383403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128383393) 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 23 ways as a sum of consecutive naturals, for example, 22365 + ... + 27512.

It is an arithmetic number, because the mean of its divisors is an integer number (6808347).

Almost surely, 2128383398 is an apocalyptic number.

128383398 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

128383398 is an abundant number, since it is smaller than the sum of its proper divisors (198417258).

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

128383398 is a wasteful number, since it uses less digits than its factorization.

128383398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49909 (or 49906 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 128383398 is about 11330.6397877613. The cubic root of 128383398 is about 504.4710967472.

It can be divided in two parts, 1283 and 83398, that added together give a square (84681 = 2912).

The spelling of 128383398 in words is "one hundred twenty-eight million, three hundred eighty-three thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 49877 99754 149631 299262 448893 548647 648401 897786 1097294 1296802 1645941 1945203 3291882 3890406 4937823 5835609 7132411 9875646 11671218 14264822 21397233 42794466 64191699 128383398