Search a number
-
+
49904112 = 24317232659
BaseRepresentation
bin1011111001011…
…1100111110000
310110220101120110
42332113213300
5100233412422
64541341320
71144115016
oct276274760
9113811513
1049904112
1126195775
1214867840
13a45387b
1468b08b6
1545ab60c
hex2f979f0

49904112 has 80 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 14969856.

The previous prime is 49904081. The next prime is 49904117. The reversal of 49904112 is 21140994.

It is a self number, because there is not a number n which added to its sum of digits gives 49904112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49904117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17439 + ... + 20097.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 249904112 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 49904112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

49904112 is an abundant number, since it is smaller than the sum of its proper divisors (92586768).

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

49904112 is a wasteful number, since it uses less digits than its factorization.

49904112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 49904112 is about 7064.2842524915. The cubic root of 49904112 is about 368.1674962158.

The spelling of 49904112 in words is "forty-nine million, nine hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 136 138 184 204 272 276 368 391 408 552 782 816 1104 1173 1564 2346 2659 3128 4692 5318 6256 7977 9384 10636 15954 18768 21272 31908 42544 45203 61157 63816 90406 122314 127632 135609 180812 183471 244628 271218 361624 366942 489256 542436 723248 733884 978512 1039669 1084872 1467768 2079338 2169744 2935536 3119007 4158676 6238014 8317352 12476028 16634704 24952056 49904112