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49809816 = 2334779139
BaseRepresentation
bin1011111000000…
…0100110011000
310110201121020000
42332000212120
5100222403231
64535333000
71143243060
oct276004630
9113647200
1049809816
1126130941
1214821160
13a41c984
1468883a0
15458d6e6
hex2f80998

49809816 has 160 divisors (see below), whose sum is σ = 162624000. Its totient is φ = 13950144.

The previous prime is 49809803. The next prime is 49809827. The reversal of 49809816 is 61890894.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 358275 + ... + 358413.

It is an arithmetic number, because the mean of its divisors is an integer number (1016400).

Almost surely, 249809816 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 49809816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81312000).

49809816 is an abundant number, since it is smaller than the sum of its proper divisors (112814184).

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

49809816 is a wasteful number, since it uses less digits than its factorization.

49809816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 49809816 is about 7057.6069598696. The cubic root of 49809816 is about 367.9354604839.

It can be divided in two parts, 49809 and 816, that added together give a 4-th power (50625 = 154).

The spelling of 49809816 in words is "forty-nine million, eight hundred nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 79 81 84 108 126 139 158 162 168 189 216 237 252 278 316 324 378 417 474 504 553 556 567 632 648 711 756 834 948 973 1106 1112 1134 1251 1422 1512 1659 1668 1896 1946 2133 2212 2268 2502 2844 2919 3318 3336 3753 3892 4266 4424 4536 4977 5004 5688 5838 6399 6636 7506 7784 8532 8757 9954 10008 10981 11259 11676 12798 13272 14931 15012 17064 17514 19908 21962 22518 23352 25596 26271 29862 30024 32943 35028 39816 43924 44793 45036 51192 52542 59724 65886 70056 76867 78813 87848 89586 90072 98829 105084 119448 131772 153734 157626 179172 197658 210168 230601 263544 296487 307468 315252 358344 395316 461202 592974 614936 630504 691803 790632 889461 922404 1185948 1383606 1778922 1844808 2075409 2371896 2767212 3557844 4150818 5534424 6226227 7115688 8301636 12452454 16603272 24904908 49809816