Search a number
-
+
49850112 = 283134993
BaseRepresentation
bin1011111000101…
…0011100000000
310110210122111110
42332022130000
5100230200422
64540243320
71143501414
oct276123400
9113718443
1049850112
1126159144
1214840540
13a435110
146898d44
15459a60c
hex2f8a700

49850112 has 72 divisors (see below), whose sum is σ = 142908304. Its totient is φ = 15335424.

The previous prime is 49850111. The next prime is 49850149. The reversal of 49850112 is 21105894.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 49850112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49850111) 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 7 ways as a sum of consecutive naturals, for example, 7488 + ... + 12480.

Almost surely, 249850112 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 49850112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71454152).

49850112 is an abundant number, since it is smaller than the sum of its proper divisors (93058192).

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

49850112 is a wasteful number, since it uses less digits than its factorization.

49850112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 49850112 is about 7060.4611747392. The cubic root of 49850112 is about 368.0346533215.

The spelling of 49850112 in words is "forty-nine million, eight hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 4993 9984 9986 14979 19972 29958 39944 59916 64909 79888 119832 129818 159776 194727 239664 259636 319552 389454 479328 519272 639104 778908 958656 1038544 1278208 1557816 1917312 2077088 3115632 3834624 4154176 6231264 8308352 12462528 16616704 24925056 49850112