[go: up one dir, main page]

Search a number
-
+
50150016 = 27347691
BaseRepresentation
bin1011111101001…
…1101010000000
310111100212220000
42333103222000
5100314300031
64550520000
71146160650
oct277235200
9114325800
1050150016
11263434a4
1214966000
13a50b787
146936360
1546093e6
hex2fd3a80

50150016 has 160 divisors (see below), whose sum is σ = 170813280. Its totient is φ = 14307840.

The previous prime is 50150003. The next prime is 50150021. The reversal of 50150016 is 61005105.

50150016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 19 ways as a sum of consecutive naturals, for example, 72231 + ... + 72921.

It is an arithmetic number, because the mean of its divisors is an integer number (1067583).

Almost surely, 250150016 is an apocalyptic number.

50150016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50150016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85406640).

50150016 is an abundant number, since it is smaller than the sum of its proper divisors (120663264).

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

50150016 is an equidigital number, since it uses as much as digits as its factorization.

50150016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 50150016 is about 7081.6676002196. The cubic root of 50150016 is about 368.7712244415.

The spelling of 50150016 in words is "fifty million, one hundred fifty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 691 756 864 896 1008 1134 1152 1296 1344 1382 1512 1728 2016 2073 2268 2592 2688 2764 3024 3456 4032 4146 4536 4837 5184 5528 6048 6219 8064 8292 9072 9674 10368 11056 12096 12438 14511 16584 18144 18657 19348 22112 24192 24876 29022 33168 36288 37314 38696 43533 44224 49752 55971 58044 66336 72576 74628 77392 87066 88448 99504 111942 116088 130599 132672 149256 154784 174132 199008 223884 232176 261198 265344 298512 309568 348264 391797 398016 447768 464352 522396 597024 619136 696528 783594 796032 895536 928704 1044792 1194048 1393056 1567188 1791072 1857408 2089584 2388096 2786112 3134376 3582144 4179168 5572224 6268752 7164288 8358336 12537504 16716672 25075008 50150016