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50439168 = 2103213421
BaseRepresentation
bin1100000001101…
…0010000000000
310111220120112100
43000122100000
5100403023133
65001030400
71151503653
oct300322000
9114816470
1050439168
112652076a
1214a85400
13a5b0280
1469ad89a
154664e13
hex301a400

50439168 has 132 divisors (see below), whose sum is σ = 157217788. Its totient is φ = 15482880.

The previous prime is 50439163. The next prime is 50439197. The reversal of 50439168 is 86193405.

50439168 is a `hidden beast` number, since 504 + 3 + 91 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 47775744 = 1632^2 + 6912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50439163) 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, 119598 + ... + 120018.

Almost surely, 250439168 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 50439168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78608894).

50439168 is an abundant number, since it is smaller than the sum of its proper divisors (106778620).

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

50439168 is a wasteful number, since it uses less digits than its factorization.

50439168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 50439168 is about 7102.0537874618. The cubic root of 50439168 is about 369.4786130863.

The spelling of 50439168 in words is "fifty million, four hundred thirty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 421 468 512 576 624 768 832 842 936 1024 1152 1248 1263 1536 1664 1684 1872 2304 2496 2526 3072 3328 3368 3744 3789 4608 4992 5052 5473 6656 6736 7488 7578 9216 9984 10104 10946 13312 13472 14976 15156 16419 19968 20208 21892 26944 29952 30312 32838 39936 40416 43784 49257 53888 59904 60624 65676 80832 87568 98514 107776 119808 121248 131352 161664 175136 197028 215552 242496 262704 323328 350272 394056 431104 484992 525408 646656 700544 788112 969984 1050816 1293312 1401088 1576224 1939968 2101632 2802176 3152448 3879936 4203264 5604352 6304896 8406528 12609792 16813056 25219584 50439168