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427164500 = 22537312127
BaseRepresentation
bin11001011101100…
…000001101010100
31002202210012112102
4121131200031110
51333323231000
6110215341232
713404560360
oct3135401524
91082705472
10427164500
111aa13a014
12bb081818
136a662a79
1440a362a0
152777c3d5
hex19760354

427164500 has 144 divisors (see below), whose sum is σ = 1110380544. Its totient is φ = 140616000.

The previous prime is 427164499. The next prime is 427164509. The reversal of 427164500 is 5461724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427164509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3363437 + ... + 3363563.

It is an arithmetic number, because the mean of its divisors is an integer number (7710976).

Almost surely, 2427164500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427164500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555190272).

427164500 is an abundant number, since it is smaller than the sum of its proper divisors (683216044).

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

427164500 is a wasteful number, since it uses less digits than its factorization.

427164500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 427164500 is about 20667.9582929713. The cubic root of 427164500 is about 753.1215087388.

The spelling of 427164500 in words is "four hundred twenty-seven million, one hundred sixty-four thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 62 70 100 124 125 127 140 155 175 217 250 254 310 350 434 500 508 620 635 700 775 868 875 889 961 1085 1270 1550 1750 1778 1922 2170 2540 3100 3175 3500 3556 3844 3875 3937 4340 4445 4805 5425 6350 6727 7750 7874 8890 9610 10850 12700 13454 15500 15748 15875 17780 19220 19685 21700 22225 24025 26908 27125 27559 31750 33635 39370 44450 48050 54250 55118 63500 67270 78740 88900 96100 98425 108500 110236 111125 120125 122047 134540 137795 168175 196850 222250 240250 244094 275590 336350 393700 444500 480500 488188 492125 551180 610235 672700 688975 840875 854329 984250 1220470 1377950 1681750 1708658 1968500 2440940 2755900 3051175 3363500 3417316 3444875 4271645 6102350 6889750 8543290 12204700 13779500 15255875 17086580 21358225 30511750 42716450 61023500 85432900 106791125 213582250 427164500