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42047610 = 23511472711
BaseRepresentation
bin1010000001100…
…1100001111010
32221010020110220
42200121201322
541231010420
64101120510
71020253533
oct240314172
987106426
1042047610
1121809aa0
12120b9136
138932857
14582768a
153a58840
hex281987a

42047610 has 64 divisors (see below), whose sum is σ = 112472064. Its totient is φ = 9972800.

The previous prime is 42047609. The next prime is 42047617. The reversal of 42047610 is 1674024.

It is not an unprimeable number, because it can be changed into a prime (42047617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14155 + ... + 16865.

It is an arithmetic number, because the mean of its divisors is an integer number (1757376).

Almost surely, 242047610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42047610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56236032).

42047610 is an abundant number, since it is smaller than the sum of its proper divisors (70424454).

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

42047610 is a wasteful number, since it uses less digits than its factorization.

42047610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2779.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 42047610 is about 6484.4128492871. The cubic root of 42047610 is about 347.7339590402.

The spelling of 42047610 in words is "forty-two million, forty-seven thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 110 141 165 235 282 330 470 517 705 1034 1410 1551 2585 2711 3102 5170 5422 7755 8133 13555 15510 16266 27110 29821 40665 59642 81330 89463 127417 149105 178926 254834 298210 382251 447315 637085 764502 894630 1274170 1401587 1911255 2803174 3822510 4204761 7007935 8409522 14015870 21023805 42047610