Search a number
-
+
42301504 = 26734147
BaseRepresentation
bin1010000101011…
…1100001000000
32221121010202101
42201113201000
541312122004
64110400144
71022362000
oct241274100
987533671
1042301504
1121972823
1212200054
1389c129b
145892000
153aa8ba4
hex2857840

42301504 has 112 divisors (see below), whose sum is σ = 102412800. Its totient is φ = 17310720.

The previous prime is 42301499. The next prime is 42301537. The reversal of 42301504 is 40510324.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 900009 + ... + 900055.

It is an arithmetic number, because the mean of its divisors is an integer number (914400).

Almost surely, 242301504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42301504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51206400).

42301504 is an abundant number, since it is smaller than the sum of its proper divisors (60111296).

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

42301504 is an equidigital number, since it uses as much as digits as its factorization.

42301504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 42301504 is about 6503.9606394873. The cubic root of 42301504 is about 348.4324565982.

Adding to 42301504 its reverse (40510324), we get a palindrome (82811828).

The spelling of 42301504 in words is "forty-two million, three hundred one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 41 47 49 56 64 82 94 98 112 164 188 196 224 287 328 329 343 376 392 448 574 656 658 686 752 784 1148 1312 1316 1372 1504 1568 1927 2009 2296 2303 2624 2632 2744 3008 3136 3854 4018 4592 4606 5264 5488 7708 8036 9184 9212 10528 10976 13489 14063 15416 16072 16121 18368 18424 21056 21952 26978 28126 30832 32144 32242 36848 53956 56252 61664 64288 64484 73696 94423 107912 112504 123328 128576 128968 147392 188846 215824 225008 257936 377692 431648 450016 515872 660961 755384 863296 900032 1031744 1321922 1510768 2643844 3021536 5287688 6043072 10575376 21150752 42301504