Search a number
-
+
51111840 = 2535138191
BaseRepresentation
bin1100001011111…
…0011110100000
310120011202021010
43002332132200
5101041034330
65023300520
71160305053
oct302763640
9116152233
1051111840
112694009a
121514a740
13a7874c0
146b06a9a
1547493b0
hex30be7a0

51111840 has 96 divisors (see below), whose sum is σ = 173408256. Its totient is φ = 12579840.

The previous prime is 51111787. The next prime is 51111857. The reversal of 51111840 is 4811115.

It is a happy number.

51111840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×511118402 = 5224840376371200, 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2145 + ... + 10335.

It is an arithmetic number, because the mean of its divisors is an integer number (1806336).

Almost surely, 251111840 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 51111840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86704128).

51111840 is an abundant number, since it is smaller than the sum of its proper divisors (122296416).

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

51111840 is a wasteful number, since it uses less digits than its factorization.

51111840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8222 (or 8214 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

The square root of 51111840 is about 7149.2545065902. The cubic root of 51111840 is about 371.1138579590.

Adding to 51111840 its reverse (4811115), we get a palindrome (55922955).

The spelling of 51111840 in words is "fifty-one million, one hundred eleven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 8191 16382 24573 32764 40955 49146 65528 81910 98292 106483 122865 131056 163820 196584 212966 245730 262112 319449 327640 393168 425932 491460 532415 638898 655280 786336 851864 982920 1064830 1277796 1310560 1597245 1703728 1965840 2129660 2555592 3194490 3407456 3931680 4259320 5111184 6388980 8518640 10222368 12777960 17037280 25555920 51111840