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50045440 = 295113173
BaseRepresentation
bin1011111011101…
…0001000000000
310111011120102211
42332322020000
5100302423230
64544351504
71145244034
oct276721000
9114146384
1050045440
1126281975
1214915594
13a4a2cb3
14690a1c4
1545d842a
hex2fba200

50045440 has 80 divisors (see below), whose sum is σ = 121753368. Its totient is φ = 19726336.

The previous prime is 50045419. The next prime is 50045453. The reversal of 50045440 is 4454005.

It can be written as a sum of positive squares in 4 ways, for example, as 36385024 + 13660416 = 6032^2 + 3696^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 289194 + ... + 289366.

Almost surely, 250045440 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 50045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60876684).

50045440 is an abundant number, since it is smaller than the sum of its proper divisors (71707928).

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

50045440 is a wasteful number, since it uses less digits than its factorization.

50045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 50045440 is about 7074.2801753959. The cubic root of 50045440 is about 368.5147176675.

Adding to 50045440 its reverse (4454005), we get a palindrome (54499445).

The spelling of 50045440 in words is "fifty million, forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 173 226 256 320 346 452 512 565 640 692 865 904 1130 1280 1384 1730 1808 2260 2560 2768 3460 3616 4520 5536 6920 7232 9040 11072 13840 14464 18080 19549 22144 27680 28928 36160 39098 44288 55360 57856 72320 78196 88576 97745 110720 144640 156392 195490 221440 289280 312784 390980 442880 625568 781960 1251136 1563920 2502272 3127840 5004544 6255680 10009088 12511360 25022720 50045440