Search a number
-
+
51897792 = 2631371973
BaseRepresentation
bin1100010111111…
…0010111000000
310121122200101110
43011332113000
5101241212132
65052203320
71200060342
oct305762700
9117580343
1051897792
1127327641
1215469540
13a9a116b
146c6d292
1548521cc
hex317e5c0

51897792 has 56 divisors (see below), whose sum is σ = 138385296. Its totient is φ = 17164288.

The previous prime is 51897773. The next prime is 51897793. The reversal of 51897792 is 29779815.

51897792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51897793) 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 7 ways as a sum of consecutive naturals, for example, 25318 + ... + 27290.

It is an arithmetic number, because the mean of its divisors is an integer number (2471166).

Almost surely, 251897792 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 51897792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69192648).

51897792 is an abundant number, since it is smaller than the sum of its proper divisors (86487504).

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

51897792 is a wasteful number, since it uses less digits than its factorization.

51897792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2115 counting only the distinct ones).

The product of its digits is 317520, while the sum is 48.

The square root of 51897792 is about 7204.0122154255. The cubic root of 51897792 is about 373.0064088101.

The spelling of 51897792 in words is "fifty-one million, eight hundred ninety-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 1096 1644 1973 2192 3288 3946 4384 5919 6576 7892 8768 11838 13152 15784 23676 26304 31568 47352 63136 94704 126272 189408 270301 378816 540602 810903 1081204 1621806 2162408 3243612 4324816 6487224 8649632 12974448 17299264 25948896 51897792