[go: up one dir, main page]

Search a number
-
+
51893292 = 223111313001
BaseRepresentation
bin1100010111110…
…1010000101100
310121122110012210
43011331100230
5101241041132
65052130420
71200041253
oct305752054
9117573183
1051893292
1127324220
1215466a10
13a99c0b9
146c6b79a
154850bcc
hex317d42c

51893292 has 48 divisors (see below), whose sum is σ = 133144704. Its totient is φ = 15600000.

The previous prime is 51893269. The next prime is 51893297. The reversal of 51893292 is 29239815.

51893292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 51893292.

It is not an unprimeable number, because it can be changed into a prime (51893297) 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, 15792 + ... + 18792.

It is an arithmetic number, because the mean of its divisors is an integer number (2773848).

Almost surely, 251893292 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 51893292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66572352).

51893292 is an abundant number, since it is smaller than the sum of its proper divisors (81251412).

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

51893292 is a wasteful number, since it uses less digits than its factorization.

51893292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3148 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 51893292 is about 7203.6998826992. The cubic root of 51893292 is about 372.9956275078.

The spelling of 51893292 in words is "fifty-one million, eight hundred ninety-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 786 1441 1572 2882 3001 4323 5764 6002 8646 9003 12004 17292 18006 33011 36012 66022 99033 132044 198066 393131 396132 786262 1179393 1572524 2358786 4324441 4717572 8648882 12973323 17297764 25946646 51893292