Search a number
-
+
51998112 = 2537743
BaseRepresentation
bin1100011001011…
…0110110100000
310121211210000000
43012112312200
5101302414422
65054300000
71200655665
oct306266640
9117753000
1051998112
1127395a51
12154b7600
13aa07a1a
146c97a6c
154871cac
hex3196da0

51998112 has 96 divisors (see below), whose sum is σ = 153740160. Its totient is φ = 17309376.

The previous prime is 51998099. The next prime is 51998113. The reversal of 51998112 is 21189915.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51998113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69613 + ... + 70355.

It is an arithmetic number, because the mean of its divisors is an integer number (1601460).

Almost surely, 251998112 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 51998112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76870080).

51998112 is an abundant number, since it is smaller than the sum of its proper divisors (101742048).

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

51998112 is an frugal number, since it uses more digits than its factorization.

51998112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 748 counting only the distinct ones).

The product of its digits is 6480, while the sum is 36.

The square root of 51998112 is about 7210.9716404934. The cubic root of 51998112 is about 373.2465983315.

The spelling of 51998112 in words is "fifty-one million, nine hundred ninety-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 743 864 972 1296 1458 1486 1944 2187 2229 2592 2916 2972 3888 4374 4458 5832 5944 6687 7776 8748 8916 11664 11888 13374 17496 17832 20061 23328 23776 26748 34992 35664 40122 53496 60183 69984 71328 80244 106992 120366 160488 180549 213984 240732 320976 361098 481464 541647 641952 722196 962928 1083294 1444392 1624941 1925856 2166588 2888784 3249882 4333176 5777568 6499764 8666352 12999528 17332704 25999056 51998112