[go: up one dir, main page]

Search a number
-
+
51434460 = 223357111237
BaseRepresentation
bin1100010000110…
…1001111011100
310120210010211000
43010031033130
5101131400320
65034230300
71163120460
oct304151734
9116703730
1051434460
1127040520
1215285390
13a86b2bc
146b8c4a0
1547aec90
hex310d3dc

51434460 has 192 divisors, whose sum is σ = 199664640. Its totient is φ = 10679040.

The previous prime is 51434443. The next prime is 51434479. The reversal of 51434460 is 6443415.

51434460 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 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 63 ways as a sum of consecutive naturals, for example, 40962 + ... + 42198.

It is an arithmetic number, because the mean of its divisors is an integer number (1039920).

Almost surely, 251434460 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 51434460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99832320).

51434460 is an abundant number, since it is smaller than the sum of its proper divisors (148230180).

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

51434460 is a wasteful number, since it uses less digits than its factorization.

51434460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 51434460 is about 7171.7822052820. The cubic root of 51434460 is about 371.8930493793.

Adding to 51434460 its reverse (6443415), we get a palindrome (57877875).

The spelling of 51434460 in words is "fifty-one million, four hundred thirty-four thousand, four hundred sixty".