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50406720 = 2635713577
BaseRepresentation
bin1100000001001…
…0010101000000
310111211221000120
43000102111000
5100401003340
65000220240
71151310240
oct300222500
9114757016
1050406720
11264a9351
1214a6a680
13a59b580
1469a1b20
15465a4d0
hex3012540

50406720 has 224 divisors, whose sum is σ = 197315328. Its totient is φ = 10616832.

The previous prime is 50406703. The next prime is 50406721. The reversal of 50406720 is 2760405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×504067203 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50406721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87072 + ... + 87648.

It is an arithmetic number, because the mean of its divisors is an integer number (880872).

Almost surely, 250406720 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 50406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98657664).

50406720 is an abundant number, since it is smaller than the sum of its proper divisors (146908608).

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

50406720 is a wasteful number, since it uses less digits than its factorization.

50406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 50406720 is about 7099.7690103270. The cubic root of 50406720 is about 369.3993663800.

The spelling of 50406720 in words is "fifty million, four hundred six thousand, seven hundred twenty".