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50487760 = 2452321193
BaseRepresentation
bin1100000010011…
…0000111010000
310112000001012001
43000212013100
5100411102020
65002043344
71152065431
oct300460720
9115001161
1050487760
1126554224
1214aa9554
13a5c941b
1469c3488
15467450a
hex30261d0

50487760 has 60 divisors (see below), whose sum is σ = 122812452. Its totient is φ = 19300864.

The previous prime is 50487757. The next prime is 50487763. The reversal of 50487760 is 6778405.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (50487757) and next prime (50487763).

It can be written as a sum of positive squares in 2 ways, for example, as 22014864 + 28472896 = 4692^2 + 5336^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50487763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41724 + ... + 42916.

Almost surely, 250487760 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 50487760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61406226).

50487760 is an abundant number, since it is smaller than the sum of its proper divisors (72324692).

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

50487760 is a wasteful number, since it uses less digits than its factorization.

50487760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 50487760 is about 7105.4739461911. The cubic root of 50487760 is about 369.5972242316.

The spelling of 50487760 in words is "fifty million, four hundred eighty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 529 920 1058 1193 1840 2116 2386 2645 4232 4772 5290 5965 8464 9544 10580 11930 19088 21160 23860 27439 42320 47720 54878 95440 109756 137195 219512 274390 439024 548780 631097 1097560 1262194 2195120 2524388 3155485 5048776 6310970 10097552 12621940 25243880 50487760