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50414080 = 29547419
BaseRepresentation
bin1100000001010…
…0001000000000
310111212022010011
43000110020000
5100401222310
65000314304
71151340553
oct300241000
9114768104
1050414080
1126503932
1214a72994
13a5a1a22
1469a469a
15465c78a
hex3014200

50414080 has 80 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 19689472.

The previous prime is 50414069. The next prime is 50414081. The reversal of 50414080 is 8041405.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50414081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120111 + ... + 120529.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 250414080 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 50414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

50414080 is an abundant number, since it is smaller than the sum of its proper divisors (73328000).

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

50414080 is an equidigital number, since it uses as much as digits as its factorization.

50414080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 50414080 is about 7100.2873181302. The cubic root of 50414080 is about 369.4173444526.

Adding to 50414080 its reverse (8041405), we get a palindrome (58455485).

The spelling of 50414080 in words is "fifty million, four hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 256 320 376 419 470 512 640 752 838 940 1280 1504 1676 1880 2095 2560 3008 3352 3760 4190 6016 6704 7520 8380 12032 13408 15040 16760 19693 24064 26816 30080 33520 39386 53632 60160 67040 78772 98465 107264 120320 134080 157544 196930 214528 268160 315088 393860 536320 630176 787720 1072640 1260352 1575440 2520704 3150880 5041408 6301760 10082816 12603520 25207040 50414080