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51230880 = 253455967
BaseRepresentation
bin1100001101101…
…1100010100000
310120101210120000
43003123202200
5101103342010
65030020000
71161312111
oct303334240
9116353500
1051230880
1126a11578
12151a7600
13a7c973c
146b38208
15476e7c0
hex30db8a0

51230880 has 240 divisors, whose sum is σ = 186611040. Its totient is φ = 13229568.

The previous prime is 51230869. The next prime is 51230887. The reversal of 51230880 is 8803215.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (51230887) 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 39 ways as a sum of consecutive naturals, for example, 764607 + ... + 764673.

It is an arithmetic number, because the mean of its divisors is an integer number (777546).

Almost surely, 251230880 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 51230880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93305520).

51230880 is an abundant number, since it is smaller than the sum of its proper divisors (135380160).

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

51230880 is a wasteful number, since it uses less digits than its factorization.

51230880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 51230880 is about 7157.5750083391. The cubic root of 51230880 is about 371.4017439062.

The spelling of 51230880 in words is "fifty-one million, two hundred thirty thousand, eight hundred eighty".