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42419790 = 2325729619
BaseRepresentation
bin1010000111010…
…0011001001110
32221211011000100
42201310121032
541324413130
64113111530
71023363600
oct241643116
987734010
1042419790
1121a43686
12122585a6
138a3308a
1458c3170
153acdc60
hex287464e

42419790 has 72 divisors (see below), whose sum is σ = 128311560. Its totient is φ = 9694944.

The previous prime is 42419759. The next prime is 42419807. The reversal of 42419790 is 9791424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 400 + ... + 9219.

It is an arithmetic number, because the mean of its divisors is an integer number (1782105).

Almost surely, 242419790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42419790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64155780).

42419790 is an abundant number, since it is smaller than the sum of its proper divisors (85891770).

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

42419790 is a wasteful number, since it uses less digits than its factorization.

42419790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9646 (or 9636 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 42419790 is about 6513.0476737085. The cubic root of 42419790 is about 348.7569235917.

The spelling of 42419790 in words is "forty-two million, four hundred nineteen thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 9619 19238 28857 48095 57714 67333 86571 96190 134666 144285 173142 201999 288570 336665 403998 432855 471331 605997 673330 865710 942662 1009995 1211994 1413993 2019990 2356655 2827986 3029985 4241979 4713310 6059970 7069965 8483958 14139930 21209895 42419790