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42175680 = 263543933
BaseRepresentation
bin1010000011100…
…0110011000000
32221100202011020
42200320303000
541244110210
64103545440
71021326111
oct240706300
987322136
1042175680
1121897238
121215b280
138978c31
14585c208
153a81770
hex2838cc0

42175680 has 56 divisors (see below), whose sum is σ = 133910832. Its totient is φ = 11246592.

The previous prime is 42175663. The next prime is 42175729. The reversal of 42175680 is 8657124.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21007 + ... + 22926.

Almost surely, 242175680 is an apocalyptic number.

42175680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42175680 is an abundant number, since it is smaller than the sum of its proper divisors (91735152).

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

42175680 is a wasteful number, since it uses less digits than its factorization.

42175680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43953 (or 43943 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 42175680 is about 6494.2805606164. The cubic root of 42175680 is about 348.0866477330.

The spelling of 42175680 in words is "forty-two million, one hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 43933 87866 131799 175732 219665 263598 351464 439330 527196 658995 702928 878660 1054392 1317990 1405856 1757320 2108784 2635980 2811712 3514640 4217568 5271960 7029280 8435136 10543920 14058560 21087840 42175680