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50416416 = 2532315647
BaseRepresentation
bin1100000001010…
…0101100100000
310111212102022200
43000110230200
5100401311131
65000333200
71151350431
oct300245440
9114772280
1050416416
1126505666
1214a74200
13a5a2acb
1469a5488
15465d2e6
hex3014b20

50416416 has 72 divisors (see below), whose sum is σ = 148022784. Its totient is φ = 16260480.

The previous prime is 50416403. The next prime is 50416417. The reversal of 50416416 is 61461405.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 50416416.

It is not an unprimeable number, because it can be changed into a prime (50416417) 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, 6105 + ... + 11751.

It is an arithmetic number, because the mean of its divisors is an integer number (2055872).

Almost surely, 250416416 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 50416416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74011392).

50416416 is an abundant number, since it is smaller than the sum of its proper divisors (97606368).

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

50416416 is a wasteful number, since it uses less digits than its factorization.

50416416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694 (or 5683 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 50416416 is about 7100.4518166100. The cubic root of 50416416 is about 369.4230501707.

The spelling of 50416416 in words is "fifty million, four hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 5647 8928 11294 16941 22588 33882 45176 50823 67764 90352 101646 135528 175057 180704 203292 271056 350114 406584 525171 542112 700228 813168 1050342 1400456 1575513 1626336 2100684 2800912 3151026 4201368 5601824 6302052 8402736 12604104 16805472 25208208 50416416