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51044292 = 223213293761
BaseRepresentation
bin1100001010110…
…1111111000100
310120001022121100
43002231333010
5101031404132
65022020100
71156604115
oct302557704
9116038540
1051044292
11268a4372
1215117630
13a762830
146aca20c
15473437c
hex30adfc4

51044292 has 72 divisors (see below), whose sum is σ = 143783640. Its totient is φ = 15160320.

The previous prime is 51044269. The next prime is 51044293. The reversal of 51044292 is 29244015.

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 49364676 = 1296^2 + 7026^2 .

It is not an unprimeable number, because it can be changed into a prime (51044293) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11692 + ... + 15452.

It is an arithmetic number, because the mean of its divisors is an integer number (1996995).

Almost surely, 251044292 is an apocalyptic number.

51044292 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51044292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71891820).

51044292 is an abundant number, since it is smaller than the sum of its proper divisors (92739348).

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

51044292 is a wasteful number, since it uses less digits than its factorization.

51044292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3813 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 51044292 is about 7144.5288158142. The cubic root of 51044292 is about 370.9503012694.

The spelling of 51044292 in words is "fifty-one million, forty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 3761 4524 6786 7522 11283 13572 15044 22566 33849 45132 48893 67698 97786 109069 135396 146679 195572 218138 293358 327207 436276 440037 586716 654414 880074 981621 1308828 1417897 1760148 1963242 2835794 3926484 4253691 5671588 8507382 12761073 17014764 25522146 51044292