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49478016 = 273779233
BaseRepresentation
bin1011110010111…
…1100110000000
310110002202002010
42330233212000
5100131244031
64524252520
71140361530
oct274574600
9113082063
1049478016
1125a24625
12146a1140
13a334943
1467dd4c0
154525246
hex2f2f980

49478016 has 128 divisors (see below), whose sum is σ = 152755200. Its totient is φ = 13897728.

The previous prime is 49477997. The next prime is 49478027. The reversal of 49478016 is 61087494.

It is a happy number.

49478016 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 (128).

It is a congruent number.

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, 212236 + ... + 212468.

It is an arithmetic number, because the mean of its divisors is an integer number (1193400).

Almost surely, 249478016 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 49478016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76377600).

49478016 is an abundant number, since it is smaller than the sum of its proper divisors (103277184).

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

49478016 is a wasteful number, since it uses less digits than its factorization.

49478016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 49478016 is about 7034.0611313806. The cubic root of 49478016 is about 367.1166589070.

The spelling of 49478016 in words is "forty-nine million, four hundred seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 192 224 233 237 316 336 384 448 466 474 553 632 672 699 896 932 948 1106 1264 1344 1398 1631 1659 1864 1896 2212 2528 2688 2796 3262 3318 3728 3792 4424 4893 5056 5592 6524 6636 7456 7584 8848 9786 10112 11184 13048 13272 14912 15168 17696 18407 19572 22368 26096 26544 29824 30336 35392 36814 39144 44736 52192 53088 55221 70784 73628 78288 89472 104384 106176 110442 128849 147256 156576 208768 212352 220884 257698 294512 313152 386547 441768 515396 589024 626304 773094 883536 1030792 1178048 1546188 1767072 2061584 2356096 3092376 3534144 4123168 6184752 7068288 8246336 12369504 16492672 24739008 49478016