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52407432 = 233371123137
BaseRepresentation
bin1100011111101…
…0110010001000
310122121120111000
43013322302020
5101404014212
65111135000
71204312230
oct307726210
9118546430
1052407432
1127645530
1215674460
13ab1c11c
146d62cc0
1549031dc
hex31fac88

52407432 has 256 divisors, whose sum is σ = 190771200. Its totient is φ = 12925440.

The previous prime is 52407431. The next prime is 52407449. The reversal of 52407432 is 23470425.

52407432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 52407396 and 52407405.

It is not an unprimeable number, because it can be changed into a prime (52407431) 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 63 ways as a sum of consecutive naturals, for example, 382468 + ... + 382604.

It is an arithmetic number, because the mean of its divisors is an integer number (745200).

Almost surely, 252407432 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 52407432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95385600).

52407432 is an abundant number, since it is smaller than the sum of its proper divisors (138363768).

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

52407432 is a wasteful number, since it uses less digits than its factorization.

52407432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 52407432 is about 7239.2977559982. The cubic root of 52407432 is about 374.2234168933.

Adding to 52407432 its reverse (23470425), we get a palindrome (75877857).

The spelling of 52407432 in words is "fifty-two million, four hundred seven thousand, four hundred thirty-two".