Search a number
-
+
51293000 = 2353114663
BaseRepresentation
bin1100001110101…
…0101101001000
310120111221202202
43003222231020
5101112334000
65031215332
71161661163
oct303525510
9116457682
1051293000
1126a54210
1215217548
13a81bab5
146b52ada
154782dd5
hex30eab48

51293000 has 64 divisors (see below), whose sum is σ = 130965120. Its totient is φ = 18648000.

The previous prime is 51292993. The next prime is 51293017. The reversal of 51293000 is 39215.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8669 + ... + 13331.

It is an arithmetic number, because the mean of its divisors is an integer number (2046330).

Almost surely, 251293000 is an apocalyptic number.

51293000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51293000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65482560).

51293000 is an abundant number, since it is smaller than the sum of its proper divisors (79672120).

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

51293000 is a wasteful number, since it uses less digits than its factorization.

51293000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4695 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 51293000 is about 7161.9131522241. The cubic root of 51293000 is about 371.5517976597.

The spelling of 51293000 in words is "fifty-one million, two hundred ninety-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 4663 5500 9326 11000 18652 23315 37304 46630 51293 93260 102586 116575 186520 205172 233150 256465 410344 466300 512930 582875 932600 1025860 1165750 1282325 2051720 2331500 2564650 4663000 5129300 6411625 10258600 12823250 25646500 51293000