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48442024484 = 227171947113963
BaseRepresentation
bin101101000111010111…
…101010001000100100
311122001000012210222222
4231013113222020210
51243202124240414
634130504411512
73333303262040
oct550727521044
9148030183888
1048442024484
11195a9294a87
12947b176b98
13475005c119
1424b7859020
1513d7be768e
hexb475ea224

48442024484 has 96 divisors (see below), whose sum is σ = 110280683520. Its totient is φ = 18117222912.

The previous prime is 48442024469. The next prime is 48442024493.

48442024484 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×484420244842 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 368087 + ... + 482049.

It is an arithmetic number, because the mean of its divisors is an integer number (1148757120).

Almost surely, 248442024484 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 48442024484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55140341760).

48442024484 is an abundant number, since it is smaller than the sum of its proper divisors (61838659036).

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

48442024484 is a wasteful number, since it uses less digits than its factorization.

48442024484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114057 (or 114055 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 44.

The spelling of 48442024484 in words is "forty-eight billion, four hundred forty-two million, twenty-four thousand, four hundred eighty-four".

Divisors: 1 2 4 7 14 17 19 28 34 38 47 68 76 94 119 133 188 238 266 323 329 476 532 646 658 799 893 1292 1316 1598 1786 2261 3196 3572 4522 5593 6251 9044 11186 12502 15181 22372 25004 30362 60724 106267 113963 212534 227926 425068 455852 797741 1595482 1937371 2165297 3190964 3874742 4330594 5356261 7749484 8661188 10712522 13561597 15157079 21425044 27123194 30314158 36810049 37493827 54246388 60628316 73620098 74987654 91056437 101768959 147240196 149975308 182112874 203537918 257670343 364225748 407075836 515340686 637395059 712382713 1030681372 1274790118 1424765426 1730072303 2549580236 2849530852 3460144606 6920289212 12110506121 24221012242 48442024484