Search a number
-
+
51749172 = 22332383251
BaseRepresentation
bin1100010101101…
…0000100110100
310121101010112000
43011122010310
5101221433142
65045055300
71165601136
oct305320464
9117333460
1051749172
1127235a12
12153b7530
13a94b617
146c31056
15482314c
hex315a134

51749172 has 96 divisors (see below), whose sum is σ = 142248960. Its totient is φ = 16236000.

The previous prime is 51749171. The next prime is 51749177. The reversal of 51749172 is 27194715.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51749171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206047 + ... + 206297.

It is an arithmetic number, because the mean of its divisors is an integer number (1481760).

Almost surely, 251749172 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 51749172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71124480).

51749172 is an abundant number, since it is smaller than the sum of its proper divisors (90499788).

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

51749172 is a wasteful number, since it uses less digits than its factorization.

51749172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 51749172 is about 7193.6897347606. The cubic root of 51749172 is about 372.6500081981.

The spelling of 51749172 in words is "fifty-one million, seven hundred forty-nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 83 92 108 138 166 207 249 251 276 332 414 498 502 621 747 753 828 996 1004 1242 1494 1506 1909 2241 2259 2484 2988 3012 3818 4482 4518 5727 5773 6777 7636 8964 9036 11454 11546 13554 17181 17319 20833 22908 23092 27108 34362 34638 41666 51543 51957 62499 68724 69276 83332 103086 103914 124998 155871 187497 206172 207828 249996 311742 374994 479159 562491 623484 749988 958318 1124982 1437477 1916636 2249964 2874954 4312431 5749908 8624862 12937293 17249724 25874586 51749172