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49038024 = 233742337
BaseRepresentation
bin1011101100010…
…0001011001000
310102021101112010
42323010023020
5100023204044
64511015520
71133550000
oct273041310
9112241463
1049038024
1125753aa2
121450a5a0
13a20c5a9
146727000
154489bb9
hex2ec42c8

49038024 has 160 divisors (see below), whose sum is σ = 153270720. Its totient is φ = 13039488.

The previous prime is 49037999. The next prime is 49038029. The reversal of 49038024 is 42083094.

It is a happy number.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 49037982 and 49038000.

It is not an unprimeable number, because it can be changed into a prime (49038029) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1325334 + ... + 1325370.

It is an arithmetic number, because the mean of its divisors is an integer number (957942).

Almost surely, 249038024 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 49038024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76635360).

49038024 is an abundant number, since it is smaller than the sum of its proper divisors (104232696).

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

49038024 is a wasteful number, since it uses less digits than its factorization.

49038024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 49038024 is about 7002.7154733003. The cubic root of 49038024 is about 366.0252005700.

The spelling of 49038024 in words is "forty-nine million, thirty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 37 42 46 49 56 69 74 84 92 98 111 138 147 148 161 168 184 196 222 259 276 294 296 322 343 392 444 483 518 552 588 644 686 777 851 888 966 1029 1036 1127 1176 1288 1372 1554 1702 1813 1932 2058 2072 2254 2401 2553 2744 3108 3381 3404 3626 3864 4116 4508 4802 5106 5439 5957 6216 6762 6808 7203 7252 7889 8232 9016 9604 10212 10878 11914 12691 13524 14406 14504 15778 17871 19208 20424 21756 23667 23828 25382 27048 28812 31556 35742 38073 41699 43512 47334 47656 50764 55223 57624 63112 71484 76146 83398 88837 94668 101528 110446 125097 142968 152292 165669 166796 177674 189336 220892 250194 266511 291893 304584 331338 333592 355348 441784 500388 533022 583786 662676 710696 875679 1000776 1066044 1167572 1325352 1751358 2043251 2132088 2335144 3502716 4086502 6129753 7005432 8173004 12259506 16346008 24519012 49038024