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51133280 = 25511171709
BaseRepresentation
bin1100001100001…
…1101101100000
310120012211200012
43003003231200
5101042231110
65023544052
71160424422
oct303035540
9116184605
1051133280
1126955210
121515b028
13a7941a3
146b10812
154750905
hex30c3b60

51133280 has 96 divisors (see below), whose sum is σ = 139618080. Its totient is φ = 17489920.

The previous prime is 51133279. The next prime is 51133307. The reversal of 51133280 is 8233115.

It is a super-2 number, since 2×511332802 = 5229224647116800, which contains 22 as substring.

It is a congruent number.

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, 29066 + ... + 30774.

It is an arithmetic number, because the mean of its divisors is an integer number (1454355).

Almost surely, 251133280 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 51133280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69809040).

51133280 is an abundant number, since it is smaller than the sum of its proper divisors (88484800).

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

51133280 is a wasteful number, since it uses less digits than its factorization.

51133280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 51133280 is about 7150.7538064179. The cubic root of 51133280 is about 371.1657413637.

Adding to 51133280 its reverse (8233115), we get a palindrome (59366395).

It can be divided in two parts, 51 and 133280, that added together give a palindrome (133331).

The spelling of 51133280 in words is "fifty-one million, one hundred thirty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1709 1760 1870 2720 2992 3418 3740 5984 6836 7480 8545 13672 14960 17090 18799 27344 29053 29920 34180 37598 54688 58106 68360 75196 93995 116212 136720 145265 150392 187990 232424 273440 290530 300784 319583 375980 464848 581060 601568 639166 751960 929696 1162120 1278332 1503920 1597915 2324240 2556664 3007840 3195830 4648480 5113328 6391660 10226656 12783320 25566640 51133280