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51678920 = 2358091597
BaseRepresentation
bin1100010100100…
…0111011001000
310121020120011002
43011020323020
5101212211140
65043354132
71165156256
oct305107310
9117216132
1051678920
1127198157
1215382948
13a925657
146c135d6
15480c415
hex3148ec8

51678920 has 32 divisors (see below), whose sum is σ = 116494200. Its totient is φ = 20633088.

The previous prime is 51678889. The next prime is 51678923. The reversal of 51678920 is 2987615.

It can be written as a sum of positive squares in 4 ways, for example, as 43533604 + 8145316 = 6598^2 + 2854^2 .

It is not an unprimeable number, because it can be changed into a prime (51678923) 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 7 ways as a sum of consecutive naturals, for example, 31562 + ... + 33158.

Almost surely, 251678920 is an apocalyptic number.

It is an amenable number.

51678920 is an abundant number, since it is smaller than the sum of its proper divisors (64815280).

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

51678920 is a wasteful number, since it uses less digits than its factorization.

51678920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 51678920 is about 7188.8051858428. The cubic root of 51678920 is about 372.4813017054.

The spelling of 51678920 in words is "fifty-one million, six hundred seventy-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 809 1597 1618 3194 3236 4045 6388 6472 7985 8090 12776 15970 16180 31940 32360 63880 1291973 2583946 5167892 6459865 10335784 12919730 25839460 51678920