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51297480 = 233251397113
BaseRepresentation
bin1100001110101…
…1110011001000
310120112011220200
43003223303020
5101113004410
65031252200
71162010223
oct303536310
9116464820
1051297480
1126a57613
121521a060
13a820b50
146b545ba
1547843c0
hex30ebcc8

51297480 has 192 divisors, whose sum is σ = 182997360. Its totient is φ = 12386304.

The previous prime is 51297469. The next prime is 51297487. The reversal of 51297480 is 8479215.

51297480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1425636 + 49871844 = 1194^2 + 7062^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51297487) 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 47 ways as a sum of consecutive naturals, for example, 453904 + ... + 454016.

Almost surely, 251297480 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 51297480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91498680).

51297480 is an abundant number, since it is smaller than the sum of its proper divisors (131699880).

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

51297480 is a wasteful number, since it uses less digits than its factorization.

51297480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 51297480 is about 7162.2259109861. The cubic root of 51297480 is about 371.5626146236.

The spelling of 51297480 in words is "fifty-one million, two hundred ninety-seven thousand, four hundred eighty".