Search a number
-
+
39424340 = 22529101673
BaseRepresentation
bin1001011001100…
…1000101010100
32202011222000202
42112121011110
540043034330
63525000032
7656046524
oct226310524
982158022
1039424340
11202880aa
1211253018
138224817
145343684
1536db445
hex2599154

39424340 has 48 divisors (see below), whose sum is σ = 86622480. Its totient is φ = 15052800.

The previous prime is 39424337. The next prime is 39424349. The reversal of 39424340 is 4342493.

It can be written as a sum of positive squares in 8 ways, for example, as 835396 + 38588944 = 914^2 + 6212^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39424349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58244 + ... + 58916.

It is an arithmetic number, because the mean of its divisors is an integer number (1804635).

Almost surely, 239424340 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 39424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43311240).

39424340 is an abundant number, since it is smaller than the sum of its proper divisors (47198140).

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

39424340 is a wasteful number, since it uses less digits than its factorization.

39424340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 39424340 is about 6278.8804734602. The cubic root of 39424340 is about 340.3466476081.

The spelling of 39424340 in words is "thirty-nine million, four hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 101 116 145 202 290 404 505 580 673 1010 1346 2020 2692 2929 3365 5858 6730 11716 13460 14645 19517 29290 39034 58580 67973 78068 97585 135946 195170 271892 339865 390340 679730 1359460 1971217 3942434 7884868 9856085 19712170 39424340