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48532019228 = 22721125338611
BaseRepresentation
bin101101001100101110…
…111101100000011100
311122021021120000120122
4231030232331200130
51243343144103403
634143441334112
73335445233300
oct551456754034
9148237500518
1048532019228
1119645072400
1294a5337338
1347658ab854
1424c57a3d00
1513e0a72838
hexb4cbbd81c

48532019228 has 108 divisors (see below), whose sum is σ = 110647242216. Its totient is φ = 18551332800.

The previous prime is 48532019227. The next prime is 48532019231. The reversal of 48532019228 is 82291023584.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48532019227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1237643 + ... + 1276253.

It is an arithmetic number, because the mean of its divisors is an integer number (1024511502).

Almost surely, 248532019228 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 48532019228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55323621108).

48532019228 is an abundant number, since it is smaller than the sum of its proper divisors (62115222988).

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

48532019228 is a wasteful number, since it uses less digits than its factorization.

48532019228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38704 (or 38684 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 48532019228 in words is "forty-eight billion, five hundred thirty-two million, nineteen thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 49 53 77 98 106 121 154 196 212 242 308 371 484 539 583 742 847 1078 1166 1484 1694 2156 2332 2597 3388 4081 5194 5929 6413 8162 10388 11858 12826 16324 23716 25652 28567 38611 44891 57134 77222 89782 114268 154444 179564 270277 314237 424721 540554 628474 849442 1081108 1256948 1698884 1891939 2046383 2973047 3783878 4092766 4671931 5946094 7567756 8185532 9343862 11892188 14324681 18687724 20811329 22510213 28649362 32703517 41622658 45020426 57298724 65407034 83245316 90040852 100272767 130814068 157571491 200545534 228924619 247612343 315142982 401091068 457849238 495224686 630285964 915698476 990449372 1103000437 1733286401 2206000874 3466572802 4412001748 6933145604 12133004807 24266009614 48532019228