Search a number
-
+
51926004 = 223213181613
BaseRepresentation
bin1100011000010…
…1001111110100
310121201010002100
43012011033310
5101243113004
65052542100
71200235524
oct306051764
9117633070
1051926004
1127346859
1215481930
13a9b0c60
146c79684
15485a739
hex31853f4

51926004 has 72 divisors (see below), whose sum is σ = 142366952. Its totient is φ = 15863040.

The previous prime is 51925999. The next prime is 51926009. The reversal of 51926004 is 40062915.

51926004 is a `hidden beast` number, since 51 + 9 + 2 + 600 + 4 = 666.

51926004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51925999) and next prime (51926009).

It can be written as a sum of positive squares in 4 ways, for example, as 12236004 + 39690000 = 3498^2 + 6300^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51926009) 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 23 ways as a sum of consecutive naturals, for example, 84402 + ... + 85014.

Almost surely, 251926004 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 51926004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71183476).

51926004 is an abundant number, since it is smaller than the sum of its proper divisors (90440948).

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

51926004 is a wasteful number, since it uses less digits than its factorization.

51926004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 51926004 is about 7205.9700249168. The cubic root of 51926004 is about 373.0739861908.

Adding to 51926004 its reverse (40062915), we get a palindrome (91988919).

The spelling of 51926004 in words is "fifty-one million, nine hundred twenty-six thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 181 234 362 468 543 613 724 1086 1226 1629 1839 2172 2353 2452 3258 3678 4706 5517 6516 7059 7356 7969 9412 11034 14118 15938 21177 22068 23907 28236 31876 42354 47814 71721 84708 95628 110953 143442 221906 286884 332859 443812 665718 998577 1331436 1442389 1997154 2884778 3994308 4327167 5769556 8654334 12981501 17308668 25963002 51926004