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49359296 = 267176481
BaseRepresentation
bin1011110001001…
…0100111000000
310102212201020002
42330102213000
5100113444141
64521535132
71136355440
oct274224700
9112781202
1049359296
1125953408
12146444a8
13a2c28ac
1467ac120
1544eee9b
hex2f129c0

49359296 has 56 divisors (see below), whose sum is σ = 118542816. Its totient is φ = 19906560.

The previous prime is 49359287. The next prime is 49359301. The reversal of 49359296 is 69295394.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 49359296.

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 7 ways as a sum of consecutive naturals, for example, 4376 + ... + 10856.

It is an arithmetic number, because the mean of its divisors is an integer number (2116836).

Almost surely, 249359296 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 49359296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59271408).

49359296 is an abundant number, since it is smaller than the sum of its proper divisors (69183520).

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

49359296 is a wasteful number, since it uses less digits than its factorization.

49359296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6517 (or 6507 counting only the distinct ones).

The product of its digits is 524880, while the sum is 47.

The square root of 49359296 is about 7025.6171259185. The cubic root of 49359296 is about 366.8227977872.

The spelling of 49359296 in words is "forty-nine million, three hundred fifty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 6481 7616 12962 25924 45367 51848 90734 103696 110177 181468 207392 220354 362936 414784 440708 725872 771239 881416 1451744 1542478 1762832 2903488 3084956 3525664 6169912 7051328 12339824 24679648 49359296