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49853856 = 2531343929
BaseRepresentation
bin1011111000101…
…1010110100000
310110210211122010
42332023112200
5100230310411
64540312520
71143515343
oct276132640
9113724563
1049853856
1126160a38
1214842740
13a436a30
14689a45a
15459b7a6
hex2f8b5a0

49853856 has 96 divisors (see below), whose sum is σ = 144365760. Its totient is φ = 14966784.

The previous prime is 49853833. The next prime is 49853861. The reversal of 49853856 is 65835894.

It is a happy number.

49853856 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 Harshad number since it is a multiple of its sum of digits (48).

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, 53200 + ... + 54128.

It is an arithmetic number, because the mean of its divisors is an integer number (1503810).

Almost surely, 249853856 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 49853856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72182880).

49853856 is an abundant number, since it is smaller than the sum of its proper divisors (94511904).

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

49853856 is a wasteful number, since it uses less digits than its factorization.

49853856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 990 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 49853856 is about 7060.7263082490. The cubic root of 49853856 is about 368.0438668564.

The spelling of 49853856 in words is "forty-nine million, eight hundred fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 172 208 258 312 344 416 516 559 624 688 929 1032 1118 1248 1376 1677 1858 2064 2236 2787 3354 3716 4128 4472 5574 6708 7432 8944 11148 12077 13416 14864 17888 22296 24154 26832 29728 36231 39947 44592 48308 53664 72462 79894 89184 96616 119841 144924 159788 193232 239682 289848 319576 386464 479364 519311 579696 639152 958728 1038622 1159392 1278304 1557933 1917456 2077244 3115866 3834912 4154488 6231732 8308976 12463464 16617952 24926928 49853856