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42385770 = 23257193541
BaseRepresentation
bin1010000110110…
…0000101101010
32221202102100100
42201230011222
541322321040
64112250230
71023162450
oct241540552
987672310
1042385770
1121a20069
1212240976
138a2074b
1458b49d0
153ac3b30
hex286c16a

42385770 has 96 divisors (see below), whose sum is σ = 132612480. Its totient is φ = 9175680.

The previous prime is 42385747. The next prime is 42385781. The reversal of 42385770 is 7758324.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10200 + ... + 13740.

It is an arithmetic number, because the mean of its divisors is an integer number (1381380).

Almost surely, 242385770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42385770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66306240).

42385770 is an abundant number, since it is smaller than the sum of its proper divisors (90226710).

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

42385770 is a wasteful number, since it uses less digits than its factorization.

42385770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 42385770 is about 6510.4354693062. The cubic root of 42385770 is about 348.6636661465.

The spelling of 42385770 in words is "forty-two million, three hundred eighty-five thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 399 570 630 665 798 855 1197 1330 1710 1995 2394 3541 3990 5985 7082 10623 11970 17705 21246 24787 31869 35410 49574 53115 63738 67279 74361 106230 123935 134558 148722 159345 201837 223083 247870 318690 336395 371805 403674 446166 470953 605511 672790 743610 941906 1009185 1115415 1211022 1412859 2018370 2230830 2354765 2825718 3027555 4238577 4709530 6055110 7064295 8477154 14128590 21192885 42385770