Search a number
-
+
51729496 = 23721310151
BaseRepresentation
bin1100010101010…
…1010001011000
310121100010112021
43011111101120
5101220320441
65044424224
71165456600
oct305252130
9117303467
1051729496
1127222155
12153a8074
13a942690
146c27c00
15481c3d1
hex3155458

51729496 has 48 divisors (see below), whose sum is σ = 121519440. Its totient is φ = 20462400.

The previous prime is 51729493. The next prime is 51729499. The reversal of 51729496 is 69492715.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51729493) and next prime (51729499).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51729493) 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 11 ways as a sum of consecutive naturals, for example, 21 + ... + 10171.

It is an arithmetic number, because the mean of its divisors is an integer number (2531655).

Almost surely, 251729496 is an apocalyptic number.

51729496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51729496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60759720).

51729496 is an abundant number, since it is smaller than the sum of its proper divisors (69789944).

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

51729496 is a wasteful number, since it uses less digits than its factorization.

51729496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10184 (or 10173 counting only the distinct ones).

The product of its digits is 136080, while the sum is 43.

The square root of 51729496 is about 7192.3220172626. The cubic root of 51729496 is about 372.6027727174.

It can be divided in two parts, 51729 and 496, that added together give a palindrome (52225).

The spelling of 51729496 in words is "fifty-one million, seven hundred twenty-nine thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 1274 2548 5096 10151 20302 40604 71057 81208 131963 142114 263926 284228 497399 527852 568456 923741 994798 1055704 1847482 1989596 3694964 3979192 6466187 7389928 12932374 25864748 51729496