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455142000 = 24353312447
BaseRepresentation
bin11011001000001…
…110101001110000
31011201102121110010
4123020032221300
51413004021000
6113055134520
714164433415
oct3310165160
91151377403
10455142000
11213a08a15
12108514440
13733aa2c1
144463a10c
1529e56d50
hex1b20ea70

455142000 has 160 divisors (see below), whose sum is σ = 1515331584. Its totient is φ = 117408000.

The previous prime is 455141957. The next prime is 455142001. The reversal of 455142000 is 241554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455142001) 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 31 ways as a sum of consecutive naturals, for example, 184777 + ... + 187223.

Almost surely, 2455142000 is an apocalyptic number.

455142000 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 455142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757665792).

455142000 is an abundant number, since it is smaller than the sum of its proper divisors (1060189584).

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

455142000 is a wasteful number, since it uses less digits than its factorization.

455142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 455142000 is about 21334.0572793831. The cubic root of 455142000 is about 769.2171725802.

Adding to 455142000 its reverse (241554), we get a palindrome (455383554).

The spelling of 455142000 in words is "four hundred fifty-five million, one hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 240 248 250 300 310 372 375 400 465 496 500 600 620 744 750 775 930 1000 1200 1240 1488 1500 1550 1860 2000 2325 2447 2480 3000 3100 3720 3875 4650 4894 6000 6200 7341 7440 7750 9300 9788 11625 12235 12400 14682 15500 18600 19576 23250 24470 29364 31000 36705 37200 39152 46500 48940 58728 61175 62000 73410 75857 93000 97880 117456 122350 146820 151714 183525 186000 195760 227571 244700 293640 303428 305875 367050 379285 455142 489400 587280 606856 611750 734100 758570 910284 917625 978800 1137855 1213712 1223500 1468200 1517140 1820568 1835250 1896425 2275710 2447000 2936400 3034280 3641136 3670500 3792850 4551420 4894000 5689275 6068560 7341000 7585700 9102840 9482125 11378550 14682000 15171400 18205680 18964250 22757100 28446375 30342800 37928500 45514200 56892750 75857000 91028400 113785500 151714000 227571000 455142000