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42296000 = 265317311
BaseRepresentation
bin1010000101011…
…0001011000000
32221120212012112
42201112023000
541311433000
64110314452
71022336645
oct241261300
987525175
1042296000
112196967a
12121b8a28
1389bb926
14588ddcc
153aa7235
hex28562c0

42296000 has 112 divisors (see below), whose sum is σ = 111264192. Its totient is φ = 15872000.

The previous prime is 42295999. The next prime is 42296027. The reversal of 42296000 is 69224.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135845 + ... + 136155.

Almost surely, 242296000 is an apocalyptic number.

42296000 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 42296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55632096).

42296000 is an abundant number, since it is smaller than the sum of its proper divisors (68968192).

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

42296000 is a wasteful number, since it uses less digits than its factorization.

42296000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 42296000 is about 6503.5374989309. The cubic root of 42296000 is about 348.4173440116.

The spelling of 42296000 in words is "forty-two million, two hundred ninety-six thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 136 160 170 200 250 272 311 320 340 400 425 500 544 622 680 800 850 1000 1088 1244 1360 1555 1600 1700 2000 2125 2488 2720 3110 3400 4000 4250 4976 5287 5440 6220 6800 7775 8000 8500 9952 10574 12440 13600 15550 17000 19904 21148 24880 26435 27200 31100 34000 38875 42296 49760 52870 62200 68000 77750 84592 99520 105740 124400 132175 136000 155500 169184 211480 248800 264350 311000 338368 422960 497600 528700 622000 660875 845920 1057400 1244000 1321750 1691840 2114800 2488000 2643500 4229600 5287000 8459200 10574000 21148000 42296000