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51423728 = 2419229307
BaseRepresentation
bin1100010000101…
…0100111110000
310120202121002112
43010022213300
5101131024403
65034104452
71163044256
oct304124760
9116677075
1051423728
1127033454
121527b128
13a866455
146b885d6
1547ab9d8
hex310a9f0

51423728 has 60 divisors (see below), whose sum is σ = 109133640. Its totient is φ = 23442048.

The previous prime is 51423721. The next prime is 51423733. The reversal of 51423728 is 82732415.

It is a junction number, because it is equal to n+sod(n) for n = 51423694 and 51423703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51423721) 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 11 ways as a sum of consecutive naturals, for example, 167351 + ... + 167657.

It is an arithmetic number, because the mean of its divisors is an integer number (1818894).

Almost surely, 251423728 is an apocalyptic number.

51423728 is a gapful number since it is divisible by the number (58) 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 51423728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54566820).

51423728 is an abundant number, since it is smaller than the sum of its proper divisors (57709912).

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

51423728 is a wasteful number, since it uses less digits than its factorization.

51423728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 357 counting only the distinct ones).

The product of its digits is 13440, while the sum is 32.

The square root of 51423728 is about 7171.0339561321. The cubic root of 51423728 is about 371.8671819367.

It can be divided in two parts, 514 and 23728, that added together give a palindrome (24242).

The spelling of 51423728 in words is "fifty-one million, four hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 19 29 38 58 76 116 152 232 304 307 361 464 551 614 722 1102 1228 1444 2204 2456 2888 4408 4912 5776 5833 8816 8903 10469 11666 17806 20938 23332 35612 41876 46664 71224 83752 93328 110827 142448 167504 169157 221654 338314 443308 676628 886616 1353256 1773232 2706512 3213983 6427966 12855932 25711864 51423728