Search a number
-
+
53748450 = 232527113151
BaseRepresentation
bin1100110100001…
…0001011100010
310202010201000100
43031002023202
5102224422300
65200003230
71221566010
oct315021342
9122121010
1053748450
1128381008
1216000516
13b19b622
1471d18b0
154aba700
hex33422e2

53748450 has 144 divisors (see below), whose sum is σ = 167596416. Its totient is φ = 12096000.

The previous prime is 53748439. The next prime is 53748481. The reversal of 53748450 is 5484735.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 355875 + ... + 356025.

It is an arithmetic number, because the mean of its divisors is an integer number (1163864).

Almost surely, 253748450 is an apocalyptic number.

53748450 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 53748450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83798208).

53748450 is an abundant number, since it is smaller than the sum of its proper divisors (113847966).

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

53748450 is a wasteful number, since it uses less digits than its factorization.

53748450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 53748450 is about 7331.3334394229. Note that the first 3 decimals coincide. The cubic root of 53748450 is about 377.3884880344.

It can be divided in two parts, 5374 and 8450, that added together give a cube (13824 = 243).

The spelling of 53748450 in words is "fifty-three million, seven hundred forty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 113 126 150 151 175 210 225 226 302 315 339 350 450 453 525 565 630 678 755 791 906 1017 1050 1057 1130 1359 1510 1575 1582 1695 2034 2114 2265 2373 2718 2825 3150 3171 3390 3775 3955 4530 4746 5085 5285 5650 6342 6795 7119 7550 7910 8475 9513 10170 10570 11325 11865 13590 14238 15855 16950 17063 19026 19775 22650 23730 25425 26425 31710 33975 34126 35595 39550 47565 50850 51189 52850 59325 67950 71190 79275 85315 95130 102378 118650 119441 153567 158550 170630 177975 237825 238882 255945 307134 355950 358323 426575 475650 511890 597205 716646 767835 853150 1074969 1194410 1279725 1535670 1791615 2149938 2559450 2986025 3583230 3839175 5374845 5972050 7678350 8958075 10749690 17916150 26874225 53748450