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4212523000 = 235371095521
BaseRepresentation
bin1111101100010101…
…1111111111111000
3101212120121100012101
43323011133333320
532111401214000
61534000553144
7206250566110
oct37305377770
911776540171
104212523000
11187194a974
129969227b4
13521971a7a
142bd676040
15199c54e6a
hexfb15fff8

4212523000 has 128 divisors (see below), whose sum is σ = 11370902400. Its totient is φ = 1430784000.

The previous prime is 4212522997. The next prime is 4212523027. The reversal of 4212523000 is 3252124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760240 + ... + 765760.

It is an arithmetic number, because the mean of its divisors is an integer number (88835175).

Almost surely, 24212523000 is an apocalyptic number.

4212523000 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 4212523000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685451200).

4212523000 is an abundant number, since it is smaller than the sum of its proper divisors (7158379400).

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

4212523000 is a wasteful number, since it uses less digits than its factorization.

4212523000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658 (or 5644 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4212523000 is about 64903.9521138736. The cubic root of 4212523000 is about 1615.0306236944.

Adding to 4212523000 its reverse (3252124), we get a palindrome (4215775124).

The spelling of 4212523000 in words is "four billion, two hundred twelve million, five hundred twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 109 125 140 175 200 218 250 280 350 436 500 545 700 763 872 875 1000 1090 1400 1526 1750 2180 2725 3052 3500 3815 4360 5450 5521 6104 7000 7630 10900 11042 13625 15260 19075 21800 22084 27250 27605 30520 38150 38647 44168 54500 55210 76300 77294 95375 109000 110420 138025 152600 154588 190750 193235 220840 276050 309176 381500 386470 552100 601789 690125 763000 772940 966175 1104200 1203578 1380250 1545880 1932350 2407156 2760500 3008945 3864700 4212523 4814312 4830875 5521000 6017890 7729400 8425046 9661750 12035780 15044725 16850092 19323500 21062615 24071560 30089450 33700184 38647000 42125230 60178900 75223625 84250460 105313075 120357800 150447250 168500920 210626150 300894500 421252300 526565375 601789000 842504600 1053130750 2106261500 4212523000