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49971168 = 2534131483
BaseRepresentation
bin1011111010011…
…1111111100000
310111000210120000
42332213333200
5100243034133
64543020000
71144514352
oct276477740
9114023500
1049971168
1126231095
121489a600
13a478250
1468cb0d2
1545c1413
hex2fa7fe0

49971168 has 120 divisors (see below), whose sum is σ = 158375448. Its totient is φ = 15365376.

The previous prime is 49971167. The next prime is 49971179. The reversal of 49971168 is 86117994.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49971167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32955 + ... + 34437.

Almost surely, 249971168 is an apocalyptic number.

49971168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49971168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79187724).

49971168 is an abundant number, since it is smaller than the sum of its proper divisors (108404280).

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

49971168 is a wasteful number, since it uses less digits than its factorization.

49971168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 1501 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 49971168 is about 7069.0287876058. The cubic root of 49971168 is about 368.3323242512.

The spelling of 49971168 in words is "forty-nine million, nine hundred seventy-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1483 1872 2106 2592 2808 2966 3744 4212 4449 5616 5932 8424 8898 11232 11864 13347 16848 17796 19279 23728 26694 33696 35592 38558 40041 47456 53388 57837 71184 77116 80082 106776 115674 120123 142368 154232 160164 173511 213552 231348 240246 308464 320328 347022 427104 462696 480492 520533 616928 640656 694044 925392 960984 1041066 1281312 1388088 1561599 1850784 1921968 2082132 2776176 3123198 3843936 4164264 5552352 6246396 8328528 12492792 16657056 24985584 49971168