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53354112 = 273723863
BaseRepresentation
bin1100101110000…
…1111010000000
310201101200002020
43023201322000
5102124312422
65143321440
71215334230
oct313417200
9121350066
1053354112
1128131809
1215a50280
13b090ca6
14712bcc0
154a3d95c
hex32e1e80

53354112 has 128 divisors (see below), whose sum is σ = 169205760. Its totient is φ = 14564352.

The previous prime is 53354107. The next prime is 53354123. The reversal of 53354112 is 21145335.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×533541122 = 5693322534617088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 61393 + ... + 62255.

It is an arithmetic number, because the mean of its divisors is an integer number (1321920).

Almost surely, 253354112 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 53354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84602880).

53354112 is an abundant number, since it is smaller than the sum of its proper divisors (115851648).

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

53354112 is a wasteful number, since it uses less digits than its factorization.

53354112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 898 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 53354112 is about 7304.3899129222. The cubic root of 53354112 is about 376.4632888903.

Adding to 53354112 its reverse (21145335), we get a palindrome (74499447).

It can be divided in two parts, 533 and 54112, that added together give a palindrome (54645).

The spelling of 53354112 in words is "fifty-three million, three hundred fifty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 276 322 336 368 384 448 483 552 644 672 736 863 896 966 1104 1288 1344 1472 1726 1932 2208 2576 2589 2688 2944 3452 3864 4416 5152 5178 6041 6904 7728 8832 10304 10356 12082 13808 15456 18123 19849 20608 20712 24164 27616 30912 36246 39698 41424 48328 55232 59547 61824 72492 79396 82848 96656 110464 119094 138943 144984 158792 165696 193312 238188 277886 289968 317584 331392 386624 416829 476376 555772 579936 635168 773248 833658 952752 1111544 1159872 1270336 1667316 1905504 2223088 2319744 2540672 3334632 3811008 4446176 6669264 7622016 8892352 13338528 17784704 26677056 53354112