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8425340400 = 243527021117
BaseRepresentation
bin1111101100011000…
…00111110111110000
3210202011202122020110
413312030013313300
5114223341343100
63512012141320
7415534132431
oct76614076760
923664678213
108425340400
113633980a44
121771767840
13a436b7829
1459cd87488
15344a17250
hex1f6307df0

8425340400 has 60 divisors (see below), whose sum is σ = 26989177592. Its totient is φ = 2246757120.

The previous prime is 8425340389. The next prime is 8425340419. The reversal of 8425340400 is 40435248.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3509359 + ... + 3511758.

Almost surely, 28425340400 is an apocalyptic number.

8425340400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8425340400 is an abundant number, since it is smaller than the sum of its proper divisors (18563837192).

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

8425340400 is a wasteful number, since it uses less digits than its factorization.

8425340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021138 (or 7021127 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 8425340400 is about 91789.6530116549. The cubic root of 8425340400 is about 2034.8347798338.

Adding to 8425340400 its reverse (40435248), we get a palindrome (8465775648).

The spelling of 8425340400 in words is "eight billion, four hundred twenty-five million, three hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 7021117 14042234 21063351 28084468 35105585 42126702 56168936 70211170 84253404 105316755 112337872 140422340 168506808 175527925 210633510 280844680 337013616 351055850 421267020 526583775 561689360 702111700 842534040 1053167550 1404223400 1685068080 2106335100 2808446800 4212670200 8425340400