Search a number
-
+
42025410 = 23257411627
BaseRepresentation
bin1010000001010…
…0000111000010
32221002010000200
42200110013002
541224303120
64100430030
71020132030
oct240240702
987063020
1042025410
11217a4349
12120a8316
13892570b
14581d550
153a51e90
hex28141c2

42025410 has 96 divisors (see below), whose sum is σ = 127999872. Its totient is φ = 9365760.

The previous prime is 42025409. The next prime is 42025433. The reversal of 42025410 is 1452024.

It is a super-2 number, since 2×420254102 = 3532270171336200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25017 + ... + 26643.

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

Almost surely, 242025410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42025410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63999936).

42025410 is an abundant number, since it is smaller than the sum of its proper divisors (85974462).

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

42025410 is a wasteful number, since it uses less digits than its factorization.

42025410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 42025410 is about 6482.7008260447. The cubic root of 42025410 is about 347.6727502273.

Adding to 42025410 its reverse (1452024), we get a palindrome (43477434).

The spelling of 42025410 in words is "forty-two million, twenty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 41 42 45 63 70 82 90 105 123 126 205 210 246 287 315 369 410 574 615 630 738 861 1230 1435 1627 1722 1845 2583 2870 3254 3690 4305 4881 5166 8135 8610 9762 11389 12915 14643 16270 22778 24405 25830 29286 34167 48810 56945 66707 68334 73215 102501 113890 133414 146430 170835 200121 205002 333535 341670 400242 466949 512505 600363 667070 933898 1000605 1025010 1200726 1400847 2001210 2334745 2801694 3001815 4202541 4669490 6003630 7004235 8405082 14008470 21012705 42025410