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4825349000 = 235347102667
BaseRepresentation
bin1000111111001110…
…01111101110001000
3110110021202010102122
410133213033232020
534340242132000
62114451550412
7230401534613
oct43747175610
913407663378
104825349000
11205686913a
12b27bbb408
135bb90b5c4
1433abdb17a
151d3958085
hex11f9cfb88

4825349000 has 64 divisors (see below), whose sum is σ = 11531669760. Its totient is φ = 1889054400.

The previous prime is 4825348973. The next prime is 4825349059. The reversal of 4825349000 is 9435284.

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 15 ways as a sum of consecutive naturals, for example, 4334 + ... + 98333.

It is an arithmetic number, because the mean of its divisors is an integer number (180182340).

Almost surely, 24825349000 is an apocalyptic number.

4825349000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4825349000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765834880).

4825349000 is an abundant number, since it is smaller than the sum of its proper divisors (6706320760).

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

4825349000 is a wasteful number, since it uses less digits than its factorization.

4825349000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102735 (or 102721 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 4825349000 is about 69464.7320587937. The cubic root of 4825349000 is about 1689.8295872892.

The spelling of 4825349000 in words is "four billion, eight hundred twenty-five million, three hundred forty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 940 1000 1175 1880 2350 4700 5875 9400 11750 23500 47000 102667 205334 410668 513335 821336 1026670 2053340 2566675 4106680 4825349 5133350 9650698 10266700 12833375 19301396 20533400 24126745 25666750 38602792 48253490 51333500 96506980 102667000 120633725 193013960 241267450 482534900 603168625 965069800 1206337250 2412674500 4825349000