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51199456 = 2571121889
BaseRepresentation
bin1100001101001…
…1110111100000
310120100012110011
43003103313200
5101101340311
65025214304
71161121360
oct303236740
9116305404
1051199456
112699aa00
1215191394
13a7b8349
146b2a9a0
154765321
hex30d3de0

51199456 has 72 divisors (see below), whose sum is σ = 126690480. Its totient is φ = 19937280.

The previous prime is 51199451. The next prime is 51199469. The reversal of 51199456 is 65499115.

51199456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51199451) 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 11 ways as a sum of consecutive naturals, for example, 26160 + ... + 28048.

It is an arithmetic number, because the mean of its divisors is an integer number (1759590).

Almost surely, 251199456 is an apocalyptic number.

51199456 is a gapful number since it is divisible by the number (56) 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 51199456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63345240).

51199456 is an abundant number, since it is smaller than the sum of its proper divisors (75491024).

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

51199456 is a wasteful number, since it uses less digits than its factorization.

51199456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1909 counting only the distinct ones).

The product of its digits is 48600, while the sum is 40.

The square root of 51199456 is about 7155.3795147427. The cubic root of 51199456 is about 371.3257915675.

The spelling of 51199456 in words is "fifty-one million, one hundred ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1889 1936 2464 3388 3778 3872 6776 7556 13223 13552 15112 20779 26446 27104 30224 41558 52892 60448 83116 105784 145453 166232 211568 228569 290906 332464 423136 457138 581812 664928 914276 1163624 1599983 1828552 2327248 3199966 3657104 4654496 6399932 7314208 12799864 25599728 51199456