Search a number
-
+
59390424 = 23321018167
BaseRepresentation
bin1110001010001…
…1100111011000
311010202100100100
43202203213120
5110200443144
65520535400
71320544632
oct342434730
9133670310
1059390424
11305849a5
1217a81560
13c3c5682
147c5da52
155332269
hex38a39d8

59390424 has 48 divisors (see below), whose sum is σ = 162461520. Its totient is φ = 19598400.

The previous prime is 59390417. The next prime is 59390467. The reversal of 59390424 is 42409395.

59390424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3189 + ... + 11355.

It is an arithmetic number, because the mean of its divisors is an integer number (3384615).

Almost surely, 259390424 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 59390424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81230760).

59390424 is an abundant number, since it is smaller than the sum of its proper divisors (103071096).

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

59390424 is a wasteful number, since it uses less digits than its factorization.

59390424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8280 (or 8273 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 59390424 is about 7706.5182800017. The cubic root of 59390424 is about 390.1564658180.

The spelling of 59390424 in words is "fifty-nine million, three hundred ninety thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 8167 16334 24501 32668 49002 65336 73503 98004 147006 196008 294012 588024 824867 1649734 2474601 3299468 4949202 6598936 7423803 9898404 14847606 19796808 29695212 59390424