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49898016 = 2532753467
BaseRepresentation
bin1011111001011…
…0001000100000
310110220002012200
42332112020200
5100233214031
64541253200
71144061160
oct276261040
9113802180
1049898016
1126191133
1214864200
13a450b6c
1468ac5a0
1545a98e6
hex2f96220

49898016 has 144 divisors (see below), whose sum is σ = 165582144. Its totient is φ = 13957632.

The previous prime is 49897997. The next prime is 49898021. The reversal of 49898016 is 61089894.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 106615 + ... + 107081.

It is an arithmetic number, because the mean of its divisors is an integer number (1149876).

Almost surely, 249898016 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 49898016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82791072).

49898016 is an abundant number, since it is smaller than the sum of its proper divisors (115684128).

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

49898016 is a wasteful number, since it uses less digits than its factorization.

49898016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 532 counting only the distinct ones).

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

The square root of 49898016 is about 7063.8527730977. The cubic root of 49898016 is about 368.1525045291.

The spelling of 49898016 in words is "forty-nine million, eight hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 252 288 318 336 371 424 467 477 504 636 672 742 848 934 954 1008 1113 1272 1401 1484 1696 1868 1908 2016 2226 2544 2802 2968 3269 3339 3736 3816 4203 4452 5088 5604 5936 6538 6678 7472 7632 8406 8904 9807 11208 11872 13076 13356 14944 15264 16812 17808 19614 22416 24751 26152 26712 29421 33624 35616 39228 44832 49502 52304 53424 58842 67248 74253 78456 99004 104608 106848 117684 134496 148506 156912 173257 198008 222759 235368 297012 313824 346514 396016 445518 470736 519771 594024 693028 792032 891036 941472 1039542 1188048 1386056 1559313 1782072 2079084 2376096 2772112 3118626 3564144 4158168 5544224 6237252 7128288 8316336 12474504 16632672 24949008 49898016