Search a number
-
+
42534450 = 2335272643
BaseRepresentation
bin1010001001000…
…0011000110010
32222000222022000
42202100120302
541342100300
64115354430
71024352100
oct242203062
988028260
1042534450
1122011842
12122b2a16
138a7331a
145912c70
153b02c00
hex2890632

42534450 has 144 divisors (see below), whose sum is σ = 136553760. Its totient is φ = 9707040.

The previous prime is 42534419. The next prime is 42534451. The reversal of 42534450 is 5443524.

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

It is not an unprimeable number, because it can be changed into a prime (42534451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65829 + ... + 66471.

It is an arithmetic number, because the mean of its divisors is an integer number (948290).

Almost surely, 242534450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42534450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68276880).

42534450 is an abundant number, since it is smaller than the sum of its proper divisors (94019310).

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

42534450 is a wasteful number, since it uses less digits than its factorization.

42534450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 42534450 is about 6521.8440643732. The cubic root of 42534450 is about 349.0708689890.

Adding to 42534450 its reverse (5443524), we get a palindrome (47977974).

The spelling of 42534450 in words is "forty-two million, five hundred thirty-four thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 49 50 54 63 70 75 90 98 105 126 135 147 150 175 189 210 225 245 270 294 315 350 378 441 450 490 525 630 643 675 735 882 945 1050 1225 1286 1323 1350 1470 1575 1890 1929 2205 2450 2646 3150 3215 3675 3858 4410 4501 4725 5787 6430 6615 7350 9002 9450 9645 11025 11574 13230 13503 16075 17361 19290 22050 22505 27006 28935 31507 32150 33075 34722 40509 45010 48225 57870 63014 66150 67515 81018 86805 94521 96450 112525 121527 135030 144675 157535 173610 189042 202545 225050 243054 283563 289350 315070 337575 405090 434025 472605 567126 607635 675150 787675 850689 868050 945210 1012725 1215270 1417815 1575350 1701378 2025450 2363025 2835630 3038175 4253445 4726050 6076350 7089075 8506890 14178150 21267225 42534450