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48838104 = 233272109127
BaseRepresentation
bin1011101001001…
…1010111011000
310101220020021200
42322103113120
5100000304404
64502434200
71132055100
oct272232730
9111806250
1048838104
1125627877
1214432960
13a16c5b3
1466b4200
15444a839
hex2e935d8

48838104 has 144 divisors (see below), whose sum is σ = 156499200. Its totient is φ = 13716864.

The previous prime is 48838091. The next prime is 48838121. The reversal of 48838104 is 40183884.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 384489 + ... + 384615.

It is an arithmetic number, because the mean of its divisors is an integer number (1086800).

Almost surely, 248838104 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 48838104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78249600).

48838104 is an abundant number, since it is smaller than the sum of its proper divisors (107661096).

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

48838104 is a wasteful number, since it uses less digits than its factorization.

48838104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 48838104 is about 6988.4264323237. The cubic root of 48838104 is about 365.5271148002.

The spelling of 48838104 in words is "forty-eight million, eight hundred thirty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 109 126 127 147 168 196 218 252 254 294 327 381 392 436 441 504 508 588 654 762 763 872 882 889 981 1016 1143 1176 1308 1524 1526 1764 1778 1962 2286 2289 2616 2667 3048 3052 3528 3556 3924 4572 4578 5334 5341 6104 6223 6867 7112 7848 8001 9144 9156 10668 10682 12446 13734 13843 16002 16023 18312 18669 21336 21364 24892 27468 27686 32004 32046 37338 41529 42728 48069 49784 54936 55372 56007 64008 64092 74676 83058 96138 96901 110744 112014 124587 128184 149352 166116 192276 193802 224028 249174 290703 332232 384552 387604 448056 498348 581406 678307 775208 872109 996696 1162812 1356614 1744218 2034921 2325624 2713228 3488436 4069842 5426456 6104763 6976872 8139684 12209526 16279368 24419052 48838104