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48996584 = 237131737107
BaseRepresentation
bin1011101011101…
…0000011101000
310102012021200022
42322322003220
5100020342314
64510100012
71133315120
oct272720350
9112167608
1048996584
112572594a
12144aa608
13a1c6780
146715c80
15447c78e
hex2eba0e8

48996584 has 128 divisors (see below), whose sum is σ = 124104960. Its totient is φ = 17584128.

The previous prime is 48996581. The next prime is 48996617. The reversal of 48996584 is 48569984.

It is a happy number.

48996584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (48996581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457859 + ... + 457965.

It is an arithmetic number, because the mean of its divisors is an integer number (969570).

Almost surely, 248996584 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 48996584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62052480).

48996584 is an abundant number, since it is smaller than the sum of its proper divisors (75108376).

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

48996584 is a wasteful number, since it uses less digits than its factorization.

With its successor (48996585) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (187).

48996584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 53.

The square root of 48996584 is about 6999.7559957473. The cubic root of 48996584 is about 365.9220672752.

The spelling of 48996584 in words is "forty-eight million, nine hundred ninety-six thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 37 52 56 68 74 91 104 107 119 136 148 182 214 221 238 259 296 364 428 442 476 481 518 629 728 749 856 884 952 962 1036 1258 1391 1498 1547 1768 1819 1924 2072 2516 2782 2996 3094 3367 3638 3848 3959 4403 5032 5564 5992 6188 6734 7276 7918 8177 8806 9737 11128 12376 12733 13468 14552 15836 16354 17612 19474 23647 25466 26936 27713 31672 32708 35224 38948 47294 50932 51467 55426 57239 65416 67303 77896 94588 101864 102934 110852 114478 134606 165529 189176 205868 221704 228956 269212 331058 360269 411736 457912 471121 538424 662116 720538 874939 942242 1324232 1441076 1749878 1884484 2882152 3499756 3768968 6124573 6999512 12249146 24498292 48996584