Search a number
-
+
51116240 = 2457372467
BaseRepresentation
bin1100001011111…
…1100011010000
310120011222022002
43002333203100
5101041204430
65023333132
71160323640
oct302774320
9116158262
1051116240
112694342a
12151511a8
13a7894c6
146b08520
15474a845
hex30bf8d0

51116240 has 80 divisors (see below), whose sum is σ = 139550592. Its totient is φ = 17044992.

The previous prime is 51116173. The next prime is 51116249. The reversal of 51116240 is 4261115.

51116240 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 (80).

It is a super-2 number, since 2×511162402 = 5225739983475200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51116249) by changing a digit.

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, 19487 + ... + 21953.

Almost surely, 251116240 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 51116240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69775296).

51116240 is an abundant number, since it is smaller than the sum of its proper divisors (88434352).

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

51116240 is a wasteful number, since it uses less digits than its factorization.

51116240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2518 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 51116240 is about 7149.5622243603. The cubic root of 51116240 is about 371.1245068557.

Adding to 51116240 its reverse (4261115), we get a palindrome (55377355).

The spelling of 51116240 in words is "fifty-one million, one hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 518 560 592 740 1036 1295 1480 2072 2467 2590 2960 4144 4934 5180 9868 10360 12335 17269 19736 20720 24670 34538 39472 49340 69076 86345 91279 98680 138152 172690 182558 197360 276304 345380 365116 456395 638953 690760 730232 912790 1277906 1381520 1460464 1825580 2555812 3194765 3651160 5111624 6389530 7302320 10223248 12779060 25558120 51116240