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50042016 = 2533173407
BaseRepresentation
bin1011111011100…
…1010010100000
310111011101202000
42332321102200
5100302321031
64544324000
71145231043
oct276712240
9114141660
1050042016
112627a342
1214913600
13a4a157b
146908c5a
1545d73e6
hex2fb94a0

50042016 has 96 divisors (see below), whose sum is σ = 154586880. Its totient is φ = 15694848.

The previous prime is 50041973. The next prime is 50042039. The reversal of 50042016 is 61024005.

It is a happy number.

50042016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×500420163 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 50042016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12985 + ... + 16391.

It is an arithmetic number, because the mean of its divisors is an integer number (1610280).

Almost surely, 250042016 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 50042016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77293440).

50042016 is an abundant number, since it is smaller than the sum of its proper divisors (104544864).

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

50042016 is a wasteful number, since it uses less digits than its factorization.

50042016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 50042016 is about 7074.0381678360. The cubic root of 50042016 is about 368.5063131510.

The spelling of 50042016 in words is "fifty million, forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3407 3672 4896 6814 7344 10221 13628 14688 20442 27256 30663 40884 54512 57919 61326 81768 91989 109024 115838 122652 163536 173757 183978 231676 245304 327072 347514 367956 463352 490608 521271 695028 735912 926704 981216 1042542 1390056 1471824 1563813 1853408 2085084 2780112 2943648 3127626 4170168 5560224 6255252 8340336 12510504 16680672 25021008 50042016