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48505548 = 223713431033
BaseRepresentation
bin1011100100001…
…0001011001100
310101021100002210
42321002023030
544404134143
64451350420
71126201410
oct271021314
9111240083
1048505548
112541aa33
12142b2410
13a084110
146628d40
1543d2033
hex2e422cc

48505548 has 96 divisors (see below), whose sum is σ = 142675456. Its totient is φ = 12483072.

The previous prime is 48505517. The next prime is 48505559. The reversal of 48505548 is 84550584.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 46440 + ... + 47472.

Almost surely, 248505548 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 48505548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71337728).

48505548 is an abundant number, since it is smaller than the sum of its proper divisors (94169908).

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

48505548 is a wasteful number, since it uses less digits than its factorization.

48505548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

The square root of 48505548 is about 6964.5924503879. The cubic root of 48505548 is about 364.6955564827.

The spelling of 48505548 in words is "forty-eight million, five hundred five thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 43 52 78 84 86 91 129 156 172 182 258 273 301 364 516 546 559 602 903 1033 1092 1118 1204 1677 1806 2066 2236 3099 3354 3612 3913 4132 6198 6708 7231 7826 11739 12396 13429 14462 15652 21693 23478 26858 28924 40287 43386 44419 46956 53716 80574 86772 88838 94003 133257 161148 177676 188006 266514 282009 310933 376012 533028 564018 577447 621866 932799 1128036 1154894 1243732 1732341 1865598 2309788 3464682 3731196 4042129 6929364 8084258 12126387 16168516 24252774 48505548