49951 has 8 divisors (see below), whose sum is σ = 57600. Its totient is φ = 42840.

The previous prime is 49943. The next prime is 49957. The reversal of 49951 is 15994.

49951 = T₁₀ + T₁₁ + ... + T₆₆.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 49951 - 2³ = 49943 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90 + ... + 328.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2⁴⁹⁹⁵¹ is an apocalyptic number.

49951 is a deficient number, since it is larger than the sum of its proper divisors (7649).

49951 is a wasteful number, since it uses less digits than its factorization.

49951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269.

The product of its digits is 1620, while the sum is 28.

The square root of 49951 is about 223.4972035619. The cubic root of 49951 is about 36.8282765501.

Multiplying 49951 by its sum of digits (28), we get a triangular number (1398628 = T₁₆₇₂).

It can be divided in two parts, 49 and 951, that added together give a cube (1000 = 10³).

The spelling of 49951 in words is "forty-nine thousand, nine hundred fifty-one".