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42328640 = 2651731251
BaseRepresentation
bin1010000101111…
…0001001000000
32221122111222102
42201132021000
541314004030
64111125532
71022534054
oct241361100
987574872
1042328640
1121991152
12122138a8
138a00743
14589bc64
153ab1c45
hex285e240

42328640 has 112 divisors (see below), whose sum is σ = 110605824. Its totient is φ = 15360000.

The previous prime is 42328639. The next prime is 42328651. The reversal of 42328640 is 4682324.

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, 168515 + ... + 168765.

It is an arithmetic number, because the mean of its divisors is an integer number (987552).

Almost surely, 242328640 is an apocalyptic number.

42328640 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 42328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55302912).

42328640 is an abundant number, since it is smaller than the sum of its proper divisors (68277184).

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

42328640 is a wasteful number, since it uses less digits than its factorization.

42328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 42328640 is about 6506.0464185248. The cubic root of 42328640 is about 348.5069460071.

The spelling of 42328640 in words is "forty-two million, three hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 62 64 68 80 85 124 136 155 160 170 248 251 272 310 320 340 496 502 527 544 620 680 992 1004 1054 1088 1240 1255 1360 1984 2008 2108 2480 2510 2635 2720 4016 4216 4267 4960 5020 5270 5440 7781 8032 8432 8534 9920 10040 10540 15562 16064 16864 17068 20080 21080 21335 31124 33728 34136 38905 40160 42160 42670 62248 68272 77810 80320 84320 85340 124496 132277 136544 155620 168640 170680 248992 264554 273088 311240 341360 497984 529108 622480 661385 682720 1058216 1244960 1322770 1365440 2116432 2489920 2645540 4232864 5291080 8465728 10582160 21164320 42328640