Search a number
-
+
51393042 = 236101349
BaseRepresentation
bin1100010000001…
…1001000010010
310120201001000000
43010003020102
5101124034132
65033310430
71162555641
oct304031022
9116631000
1051393042
1127012398
1215265416
13a8554ac
146b7b358
1547a287c
hex3103212

51393042 has 56 divisors (see below), whose sum is σ = 117060300. Its totient is φ = 16912800.

The previous prime is 51393031. The next prime is 51393047. The reversal of 51393042 is 24039315.

It can be written as a sum of positive squares in 2 ways, for example, as 43046721 + 8346321 = 6561^2 + 2889^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 51392997 and 51393015.

It is not an unprimeable number, because it can be changed into a prime (51393047) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 147084 + ... + 147432.

Almost surely, 251393042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51393042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58530150).

51393042 is an abundant number, since it is smaller than the sum of its proper divisors (65667258).

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

51393042 is a wasteful number, since it uses less digits than its factorization.

51393042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 51393042 is about 7168.8940569658. The cubic root of 51393042 is about 371.7931993135.

The spelling of 51393042 in words is "fifty-one million, three hundred ninety-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 243 303 349 486 606 698 729 909 1047 1458 1818 2094 2727 3141 5454 6282 8181 9423 16362 18846 24543 28269 35249 49086 56538 70498 73629 84807 105747 147258 169614 211494 254421 317241 508842 634482 951723 1903446 2855169 5710338 8565507 17131014 25696521 51393042