Search a number
-
+
51210072 = 23323747409
BaseRepresentation
bin1100001101011…
…0011101011000
310120100202000100
43003112131120
5101102210242
65025335400
71161164334
oct303263530
9116322010
1051210072
11269a7981
1215197560
13a7c0124
146b307c4
15476854c
hex30d6758

51210072 has 96 divisors (see below), whose sum is σ = 145828800. Its totient is φ = 16215552.

The previous prime is 51210037. The next prime is 51210113. The reversal of 51210072 is 27001215.

51210072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 125004 + ... + 125412.

It is an arithmetic number, because the mean of its divisors is an integer number (1519050).

Almost surely, 251210072 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 51210072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72914400).

51210072 is an abundant number, since it is smaller than the sum of its proper divisors (94618728).

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

51210072 is a wasteful number, since it uses less digits than its factorization.

51210072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 51210072 is about 7156.1212957859. The cubic root of 51210072 is about 371.3514540940.

Adding to 51210072 its reverse (27001215), we get a palindrome (78211287).

The spelling of 51210072 in words is "fifty-one million, two hundred ten thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 47 72 74 94 111 141 148 188 222 282 296 333 376 409 423 444 564 666 818 846 888 1128 1227 1332 1636 1692 1739 2454 2664 3272 3384 3478 3681 4908 5217 6956 7362 9816 10434 13912 14724 15133 15651 19223 20868 29448 30266 31302 38446 41736 45399 57669 60532 62604 76892 90798 115338 121064 125208 136197 153784 173007 181596 230676 272394 346014 363192 461352 544788 692028 711251 1089576 1384056 1422502 2133753 2845004 4267506 5690008 6401259 8535012 12802518 17070024 25605036 51210072