[go: up one dir, main page]

Search a number
-
+
54112050 = 2345231431
BaseRepresentation
bin1100111001101…
…0111100110010
310202211011210000
43032122330302
5102323041200
65211450430
71224642036
oct316327462
9122734700
1054112050
11285aa203
1216156a16
13b297c85
1472881c6
154b3d300
hex339af32

54112050 has 120 divisors (see below), whose sum is σ = 155561472. Its totient is φ = 13932000.

The previous prime is 54112049. The next prime is 54112111. The reversal of 54112050 is 5021145.

54112050 is a `hidden beast` number, since 541 + 120 + 5 + 0 = 666.

It is a super-2 number, since 2×541120502 = 5856227910405000, which contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 125335 + ... + 125765.

Almost surely, 254112050 is an apocalyptic number.

54112050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54112050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77780736).

54112050 is an abundant number, since it is smaller than the sum of its proper divisors (101449422).

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

54112050 is a wasteful number, since it uses less digits than its factorization.

54112050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 54112050 is about 7356.0893143028. The cubic root of 54112050 is about 378.2375679696.

Adding to 54112050 its reverse (5021145), we get a palindrome (59133195).

The spelling of 54112050 in words is "fifty-four million, one hundred twelve thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 31 45 50 54 62 75 81 90 93 135 150 155 162 186 225 270 279 310 405 431 450 465 558 675 775 810 837 862 930 1293 1350 1395 1550 1674 2025 2155 2325 2511 2586 2790 3879 4050 4185 4310 4650 5022 6465 6975 7758 8370 10775 11637 12555 12930 13361 13950 19395 20925 21550 23274 25110 26722 32325 34911 38790 40083 41850 58185 62775 64650 66805 69822 80166 96975 116370 120249 125550 133610 174555 193950 200415 240498 290925 334025 349110 360747 400830 581850 601245 668050 721494 872775 1002075 1082241 1202490 1745550 1803735 2004150 2164482 3006225 3607470 5411205 6012450 9018675 10822410 18037350 27056025 54112050