Search a number
-
+
49849776 = 2433257449
BaseRepresentation
bin1011111000101…
…0010110110000
310110210122001000
42332022112300
5100230143101
64540242000
71143500424
oct276122660
9113718030
1049849776
1126158969
1214840300
13a434c12
146898b84
15459a486
hex2f8a5b0

49849776 has 80 divisors (see below), whose sum is σ = 143964000. Its totient is φ = 16515072.

The previous prime is 49849769. The next prime is 49849819. The reversal of 49849776 is 67794894.

It is a happy number.

49849776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 110800 + ... + 111248.

It is an arithmetic number, because the mean of its divisors is an integer number (1799550).

Almost surely, 249849776 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 49849776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71982000).

49849776 is an abundant number, since it is smaller than the sum of its proper divisors (94114224).

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

49849776 is a wasteful number, since it uses less digits than its factorization.

49849776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 711 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 49849776 is about 7060.4373802194. The cubic root of 49849776 is about 368.0338264432.

It can be divided in two parts, 49849 and 776, that added together give a 4-th power (50625 = 154).

The spelling of 49849776 in words is "forty-nine million, eight hundred forty-nine thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 257 432 449 514 771 898 1028 1347 1542 1796 2056 2313 2694 3084 3592 4041 4112 4626 5388 6168 6939 7184 8082 9252 10776 12123 12336 13878 16164 18504 21552 24246 27756 32328 37008 48492 55512 64656 96984 111024 115393 193968 230786 346179 461572 692358 923144 1038537 1384716 1846288 2077074 2769432 3115611 4154148 5538864 6231222 8308296 12462444 16616592 24924888 49849776