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49051296 = 2532729839
BaseRepresentation
bin1011101100011…
…1011010100000
310102022001201200
42323013122200
5100024120141
64511201200
71133633460
oct273073240
9112261650
1049051296
1125762a68
1214516200
13a215648
14672bba0
15448dab6
hex2ec76a0

49051296 has 144 divisors (see below), whose sum is σ = 165110400. Its totient is φ = 13515264.

The previous prime is 49051279. The next prime is 49051297. The reversal of 49051296 is 69215094.

49051296 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 49051296.

It is not an unprimeable number, because it can be changed into a prime (49051297) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 58045 + ... + 58883.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 249051296 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 49051296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

49051296 is an abundant number, since it is smaller than the sum of its proper divisors (116059104).

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

49051296 is a wasteful number, since it uses less digits than its factorization.

49051296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 49051296 is about 7003.6630415805. The cubic root of 49051296 is about 366.0582188137.

The spelling of 49051296 in words is "forty-nine million, fifty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 839 928 1008 1044 1218 1392 1624 1678 1827 2016 2088 2436 2517 2784 3248 3356 3654 4176 4872 5034 5873 6496 6712 7308 7551 8352 9744 10068 11746 13424 14616 15102 17619 19488 20136 23492 24331 26848 29232 30204 35238 40272 46984 48662 52857 58464 60408 70476 72993 80544 93968 97324 105714 120816 140952 145986 170317 187936 194648 211428 218979 241632 281904 291972 340634 389296 422856 437958 510951 563808 583944 681268 778592 845712 875916 1021902 1167888 1362536 1532853 1691424 1751832 2043804 2335776 2725072 3065706 3503664 4087608 5450144 6131412 7007328 8175216 12262824 16350432 24525648 49051296