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426305000 = 23541123337
BaseRepresentation
bin11001011010001…
…110010111101000
31002201011112112002
4121122032113220
51333113230000
6110145110132
713364350502
oct3132162750
91081145462
10426305000
111a9702290
12ba928348
136a4217a4
1440890d72
152765c8d5
hex1968e5e8

426305000 has 160 divisors (see below), whose sum is σ = 1140384960. Its totient is φ = 147840000.

The previous prime is 426304979. The next prime is 426305041. The reversal of 426305000 is 503624.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1264832 + ... + 1265168.

It is an arithmetic number, because the mean of its divisors is an integer number (7127406).

Almost surely, 2426305000 is an apocalyptic number.

426305000 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 426305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570192480).

426305000 is an abundant number, since it is smaller than the sum of its proper divisors (714079960).

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

426305000 is a wasteful number, since it uses less digits than its factorization.

426305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 426305000 is about 20647.1547676671. The cubic root of 426305000 is about 752.6160496215.

Adding to 426305000 its reverse (503624), we get a palindrome (426808624).

The spelling of 426305000 in words is "four hundred twenty-six million, three hundred five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 125 184 200 220 230 250 253 275 337 440 460 500 506 550 575 625 674 920 1000 1012 1100 1150 1250 1265 1348 1375 1685 2024 2200 2300 2500 2530 2696 2750 2875 3370 3707 4600 5000 5060 5500 5750 6325 6740 6875 7414 7751 8425 10120 11000 11500 12650 13480 13750 14375 14828 15502 16850 18535 23000 25300 27500 28750 29656 31004 31625 33700 37070 38755 42125 50600 55000 57500 62008 63250 67400 74140 77510 84250 85261 92675 115000 126500 148280 155020 158125 168500 170522 185350 193775 210625 253000 310040 316250 337000 341044 370700 387550 421250 426305 463375 632500 682088 741400 775100 842500 852610 926750 968875 1265000 1550200 1685000 1705220 1853500 1937750 2131525 2316875 3410440 3707000 3875500 4263050 4633750 4844375 7751000 8526100 9267500 9688750 10657625 17052200 18535000 19377500 21315250 38755000 42630500 53288125 85261000 106576250 213152500 426305000