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51483680 = 2552331381
BaseRepresentation
bin1100010001100…
…1010000100000
310120212122022222
43010121100200
5101134434210
65035250212
71163414123
oct304312040
9116778288
1051483680
11270744a6
12152a9968
13a887821
146ba23ba
1547be655
hex3119420

51483680 has 48 divisors (see below), whose sum is σ = 122240664. Its totient is φ = 20490240.

The previous prime is 51483661. The next prime is 51483697. The reversal of 51483680 is 8638415.

It can be written as a sum of positive squares in 4 ways, for example, as 32855824 + 18627856 = 5732^2 + 4316^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 51483680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36590 + ... + 37970.

Almost surely, 251483680 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 51483680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61120332).

51483680 is an abundant number, since it is smaller than the sum of its proper divisors (70756984).

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

51483680 is a wasteful number, since it uses less digits than its factorization.

51483680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 51483680 is about 7175.2128888278. The cubic root of 51483680 is about 372.0116387463.

The spelling of 51483680 in words is "fifty-one million, four hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 233 466 932 1165 1381 1864 2330 2762 3728 4660 5524 6905 7456 9320 11048 13810 18640 22096 27620 37280 44192 55240 110480 220960 321773 643546 1287092 1608865 2574184 3217730 5148368 6435460 10296736 12870920 25741840 51483680