Search a number
-
+
42009570 = 2335192431
BaseRepresentation
bin1010000001000…
…0001111100010
32221001022022000
42200100033202
541223301240
64100224430
71020034611
oct240201742
987038260
1042009570
1121793459
121209b116
13891b445
145817878
153a4c430
hex28103e2

42009570 has 96 divisors (see below), whose sum is σ = 118506240. Its totient is φ = 10588320.

The previous prime is 42009509. The next prime is 42009571. The reversal of 42009570 is 7590024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42009571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97255 + ... + 97685.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 242009570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42009570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59253120).

42009570 is an abundant number, since it is smaller than the sum of its proper divisors (76496670).

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

42009570 is a wasteful number, since it uses less digits than its factorization.

42009570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 42009570 is about 6481.4789978831. The cubic root of 42009570 is about 347.6290637337.

Adding to 42009570 its reverse (7590024), we get a palindrome (49599594).

The spelling of 42009570 in words is "forty-two million, nine thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 270 285 342 361 431 513 570 722 855 862 1026 1083 1293 1710 1805 2155 2166 2565 2586 3249 3610 3879 4310 5130 5415 6465 6498 7758 8189 9747 10830 11637 12930 16245 16378 19395 19494 23274 24567 32490 38790 40945 48735 49134 58185 73701 81890 97470 116370 122835 147402 155591 221103 245670 311182 368505 442206 466773 737010 777955 933546 1105515 1400319 1555910 2211030 2333865 2800638 4200957 4667730 7001595 8401914 14003190 21004785 42009570