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42516660 = 22351773571
BaseRepresentation
bin1010001000110…
…0000010110100
32222000001220010
42202030002310
541341013120
64115140220
71024246164
oct242140264
988001803
1042516660
1121aaa43a
12122a4670
138a681b4
14590a5a4
153aec7e0
hex288c0b4

42516660 has 96 divisors (see below), whose sum is σ = 127999872. Its totient is φ = 10506240.

The previous prime is 42516641. The next prime is 42516671. The reversal of 42516660 is 6661524.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74175 + ... + 74745.

It is an arithmetic number, because the mean of its divisors is an integer number (1333332).

Almost surely, 242516660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42516660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63999936).

42516660 is an abundant number, since it is smaller than the sum of its proper divisors (85483212).

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

42516660 is a wasteful number, since it uses less digits than its factorization.

42516660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 42516660 is about 6520.4800436778. The cubic root of 42516660 is about 349.0221959978.

The spelling of 42516660 in words is "forty-two million, five hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 73 85 102 146 170 204 219 255 292 340 365 438 510 571 730 876 1020 1095 1142 1241 1460 1713 2190 2284 2482 2855 3426 3723 4380 4964 5710 6205 6852 7446 8565 9707 11420 12410 14892 17130 18615 19414 24820 29121 34260 37230 38828 41683 48535 58242 74460 83366 97070 116484 125049 145605 166732 194140 208415 250098 291210 416830 500196 582420 625245 708611 833660 1250490 1417222 2125833 2500980 2834444 3543055 4251666 7086110 8503332 10629165 14172220 21258330 42516660