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50508672 = 273314243
BaseRepresentation
bin1100000010101…
…1001110000000
310112001002212120
43000223032000
5100412234142
65002324240
71152213414
oct300531600
9115032776
1050508672
1126568a05
1214ab9680
13a605ab6
1469cad44
15467a7ec
hex302b380

50508672 has 64 divisors (see below), whose sum is σ = 138524160. Its totient is φ = 16289280.

The previous prime is 50508659. The next prime is 50508673. The reversal of 50508672 is 27680505.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×505086722 = 5102251894407168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50508673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9783 + ... + 14025.

It is an arithmetic number, because the mean of its divisors is an integer number (2164440).

Almost surely, 250508672 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 50508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69262080).

50508672 is an abundant number, since it is smaller than the sum of its proper divisors (88015488).

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

50508672 is a wasteful number, since it uses less digits than its factorization.

50508672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4279 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 50508672 is about 7106.9453353744. The cubic root of 50508672 is about 369.6482461709.

The spelling of 50508672 in words is "fifty million, five hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 4243 5952 8486 11904 12729 16972 25458 33944 50916 67888 101832 131533 135776 203664 263066 271552 394599 407328 526132 543104 789198 814656 1052264 1578396 1629312 2104528 3156792 4209056 6313584 8418112 12627168 16836224 25254336 50508672