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49974624 = 253378263
BaseRepresentation
bin1011111010100…
…0110101100000
310111000222022000
42332220311200
5100243141444
64543044000
71144530420
oct276506540
9114028260
1049974624
1126233747
12148a0600
13a4799ab
1468cc480
1545c2469
hex2fa8d60

49974624 has 96 divisors (see below), whose sum is σ = 166602240. Its totient is φ = 14276736.

The previous prime is 49974599. The next prime is 49974637. The reversal of 49974624 is 42647994.

49974624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 49974624.

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 15 ways as a sum of consecutive naturals, for example, 1917 + ... + 10179.

It is an arithmetic number, because the mean of its divisors is an integer number (1735440).

Almost surely, 249974624 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 49974624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83301120).

49974624 is an abundant number, since it is smaller than the sum of its proper divisors (116627616).

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

49974624 is a wasteful number, since it uses less digits than its factorization.

49974624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8289 (or 8275 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 49974624 is about 7069.2732299721. The cubic root of 49974624 is about 368.3408153286.

The spelling of 49974624 in words is "forty-nine million, nine hundred seventy-four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 8263 16526 24789 33052 49578 57841 66104 74367 99156 115682 132208 148734 173523 198312 223101 231364 264416 297468 347046 396624 446202 462728 520569 594936 694092 793248 892404 925456 1041138 1189872 1388184 1561707 1784808 1850912 2082276 2379744 2776368 3123414 3569616 4164552 5552736 6246828 7139232 8329104 12493656 16658208 24987312 49974624