Search a number
-
+
52661430 = 23251374271
BaseRepresentation
bin1100100011100…
…0110010110110
310200002110220100
43020320302312
5101440131210
65120414530
71206420603
oct310706266
9120073810
1052661430
11277a9348
1215777446
13abaa913
146dcb6aa
1549535c0
hex3238cb6

52661430 has 48 divisors (see below), whose sum is σ = 137951424. Its totient is φ = 13937280.

The previous prime is 52661417. The next prime is 52661437. The reversal of 52661430 is 3416625.

52661430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 52661394 and 52661403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52661437) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10195 + ... + 14465.

It is an arithmetic number, because the mean of its divisors is an integer number (2873988).

Almost surely, 252661430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52661430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68975712).

52661430 is an abundant number, since it is smaller than the sum of its proper divisors (85289994).

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

52661430 is a wasteful number, since it uses less digits than its factorization.

52661430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 52661430 is about 7256.8195512910. The cubic root of 52661430 is about 374.8270135474.

The spelling of 52661430 in words is "fifty-two million, six hundred sixty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1233 1370 2055 2466 4110 4271 6165 8542 12330 12813 21355 25626 38439 42710 64065 76878 128130 192195 384390 585127 1170254 1755381 2925635 3510762 5266143 5851270 8776905 10532286 17553810 26330715 52661430