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42335700 = 223521112829
BaseRepresentation
bin1010000101111…
…1110111010100
32221122212122220
42201133313110
541314220300
64111222340
71022563461
oct241376724
987585586
1042335700
1121996490
12122179b0
138a03a14
1458a0668
153ab3da0
hex285fdd4

42335700 has 72 divisors (see below), whose sum is σ = 133637280. Its totient is φ = 10262400.

The previous prime is 42335687. The next prime is 42335701. The reversal of 42335700 is 753324.

It is a super-2 number, since 2×423357002 = 3584622988980000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42335701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3115 + ... + 9714.

Almost surely, 242335700 is an apocalyptic number.

It is an amenable number.

42335700 is an abundant number, since it is smaller than the sum of its proper divisors (91301580).

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

42335700 is a wasteful number, since it uses less digits than its factorization.

42335700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12857 (or 12850 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 42335700 is about 6506.5889681153. The cubic root of 42335700 is about 348.5263207713.

The spelling of 42335700 in words is "forty-two million, three hundred thirty-five thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 12829 25658 38487 51316 64145 76974 128290 141119 153948 192435 256580 282238 320725 384870 423357 564476 641450 705595 769740 846714 962175 1282900 1411190 1693428 1924350 2116785 2822380 3527975 3848700 4233570 7055950 8467140 10583925 14111900 21167850 42335700