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5212401000 = 233534214127
BaseRepresentation
bin1001101101010111…
…01110110101101000
3111110021001101221220
410312223232311220
541133333313000
62221115502040
7243111451242
oct46653566550
914407041856
105212401000
1122352a0024
121015757920
13650b68561
14376391092
152079101a0
hex136aeed68

5212401000 has 128 divisors (see below), whose sum is σ = 16305269760. Its totient is φ = 1386336000.

The previous prime is 5212400983. The next prime is 5212401041. The reversal of 5212401000 is 1042125.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 1260937 + ... + 1265063.

It is an arithmetic number, because the mean of its divisors is an integer number (127384920).

Almost surely, 25212401000 is an apocalyptic number.

5212401000 is a gapful number since it is divisible by the number (50) 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 5212401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8152634880).

5212401000 is an abundant number, since it is smaller than the sum of its proper divisors (11092868760).

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

5212401000 is a wasteful number, since it uses less digits than its factorization.

5212401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4572 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 5212401000 is about 72196.9597697853. The cubic root of 5212401000 is about 1733.8543264582.

Adding to 5212401000 its reverse (1042125), we get a palindrome (5213443125).

The spelling of 5212401000 in words is "five billion, two hundred twelve million, four hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 421 500 600 750 842 1000 1263 1500 1684 2105 2526 3000 3368 4127 4210 5052 6315 8254 8420 10104 10525 12381 12630 16508 16840 20635 21050 24762 25260 31575 33016 41270 42100 49524 50520 52625 61905 63150 82540 84200 99048 103175 105250 123810 126300 157875 165080 206350 210500 247620 252600 309525 315750 412700 421000 495240 515875 619050 631500 825400 1031750 1238100 1263000 1547625 1737467 2063500 2476200 3095250 3474934 4127000 5212401 6190500 6949868 8687335 10424802 12381000 13899736 17374670 20849604 26062005 34749340 41699208 43436675 52124010 69498680 86873350 104248020 130310025 173746700 208496040 217183375 260620050 347493400 434366750 521240100 651550125 868733500 1042480200 1303100250 1737467000 2606200500 5212401000