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50144160 = 2535119497
BaseRepresentation
bin1011111101001…
…0001110100000
310111100120212010
42333102032200
5100314103120
64550432520
71146134613
oct277221640
9114316763
1050144160
112633a060
1214962740
13a508c01
14693417a
1546077e0
hex2fd23a0

50144160 has 96 divisors (see below), whose sum is σ = 172331712. Its totient is φ = 12154880.

The previous prime is 50144153. The next prime is 50144167. The reversal of 50144160 is 6144105.

50144160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (50144153) and next prime (50144167).

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

It is not an unprimeable number, because it can be changed into a prime (50144167) by changing a digit.

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, 532 + ... + 10028.

It is an arithmetic number, because the mean of its divisors is an integer number (1795122).

Almost surely, 250144160 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 50144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86165856).

50144160 is an abundant number, since it is smaller than the sum of its proper divisors (122187552).

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

50144160 is a wasteful number, since it uses less digits than its factorization.

50144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9526 (or 9518 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 50144160 is about 7081.2541262124. The cubic root of 50144160 is about 368.7568701200.

Adding to 50144160 its reverse (6144105), we get a palindrome (56288265).

It can be divided in two parts, 501441 and 60, that added together give a triangular number (501501 = T1001).

The spelling of 50144160 in words is "fifty million, one hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 9497 18994 28491 37988 47485 56982 75976 94970 104467 113964 142455 151952 189940 208934 227928 284910 303904 313401 379880 417868 455856 522335 569820 626802 759760 835736 911712 1044670 1139640 1253604 1519520 1567005 1671472 2089340 2279280 2507208 3134010 3342944 4178680 4558560 5014416 6268020 8357360 10028832 12536040 16714720 25072080 50144160