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51877980 = 2232571119197
BaseRepresentation
bin1100010111100…
…1100001011100
310121121200012200
43011321201130
5101240043410
65051531500
71166645520
oct305714134
9117550180
1051877980
1127313770
1215459b90
13a99513b
146c65d80
15484b3c0
hex317985c

51877980 has 288 divisors, whose sum is σ = 207567360. Its totient is φ = 10160640.

The previous prime is 51877979. The next prime is 51878003. The reversal of 51877980 is 8977815.

51877980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 263242 + ... + 263438.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

It is a vampire number, since it can be written as 59108778 (with its own digits).

Almost surely, 251877980 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 51877980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

51877980 is an abundant number, since it is smaller than the sum of its proper divisors (155689380).

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

51877980 is a wasteful number, since it uses less digits than its factorization.

51877980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The square root of 51877980 is about 7202.6370170931. The cubic root of 51877980 is about 372.9589376605.

The spelling of 51877980 in words is "fifty-one million, eight hundred seventy-seven thousand, nine hundred eighty".