Search a number
-
+
59430906 = 23231731459
BaseRepresentation
bin1110001010110…
…1011111111010
311010211101212200
43202231133322
5110203242111
65521451030
71321103643
oct342553772
9133741780
1059430906
1130602357
1217aa0a76
13c40ac22
147c706ca
15533e256
hex38ad7fa

59430906 has 48 divisors (see below), whose sum is σ = 134833920. Its totient is φ = 18895680.

The previous prime is 59430883. The next prime is 59430911. The reversal of 59430906 is 60903495.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40005 + ... + 41463.

It is an arithmetic number, because the mean of its divisors is an integer number (2809040).

Almost surely, 259430906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59430906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67416960).

59430906 is an abundant number, since it is smaller than the sum of its proper divisors (75403014).

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

59430906 is a wasteful number, since it uses less digits than its factorization.

59430906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 59430906 is about 7709.1443104926. The cubic root of 59430906 is about 390.2450924896.

The spelling of 59430906 in words is "fifty-nine million, four hundred thirty thousand, nine hundred six".

Divisors: 1 2 3 6 9 18 31 62 73 93 146 186 219 279 438 558 657 1314 1459 2263 2918 4377 4526 6789 8754 13131 13578 20367 26262 40734 45229 90458 106507 135687 213014 271374 319521 407061 639042 814122 958563 1917126 3301717 6603434 9905151 19810302 29715453 59430906