Search a number
-
+
51342552 = 2333251947
BaseRepresentation
bin1100001111011…
…0110011011000
310120121110202000
43003312303120
5101120430202
65032241000
71162255512
oct303666330
9116543660
1051342552
1126a88468
1215240160
13a838511
146b66bb2
15479291c
hex30f6cd8

51342552 has 64 divisors (see below), whose sum is σ = 143337600. Its totient is φ = 17028000.

The previous prime is 51342527. The next prime is 51342553. The reversal of 51342552 is 25524315.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51342553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53743 + ... + 54689.

It is an arithmetic number, because the mean of its divisors is an integer number (2239650).

Almost surely, 251342552 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 51342552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71668800).

51342552 is an abundant number, since it is smaller than the sum of its proper divisors (91995048).

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

51342552 is a wasteful number, since it uses less digits than its factorization.

51342552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1203 counting only the distinct ones).

The product of its digits is 6000, while the sum is 27.

The square root of 51342552 is about 7165.3717279706. The cubic root of 51342552 is about 371.6714059825.

Adding to 51342552 its reverse (25524315), we get a palindrome (76866867).

The spelling of 51342552 in words is "fifty-one million, three hundred forty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 251 502 753 947 1004 1506 1894 2008 2259 2841 3012 3788 4518 5682 6024 6777 7576 8523 9036 11364 13554 17046 18072 22728 25569 27108 34092 51138 54216 68184 102276 204552 237697 475394 713091 950788 1426182 1901576 2139273 2852364 4278546 5704728 6417819 8557092 12835638 17114184 25671276 51342552