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48584130 = 23571731439
BaseRepresentation
bin1011100101010…
…1010111000010
310101102022220020
42321111113002
544414143010
64453154310
71126646460
oct271252702
9111368806
1048584130
1125473a81
121432b996
13a0b0b0a
146649830
1543ea470
hex2e555c2

48584130 has 128 divisors (see below), whose sum is σ = 145981440. Its totient is φ = 10091520.

The previous prime is 48584111. The next prime is 48584149. The reversal of 48584130 is 3148584.

48584130 is nontrivially palindromic in base 13.

48584130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48584111) and next prime (48584149).

It is a junction number, because it is equal to n+sod(n) for n = 48584091 and 48584100.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 110451 + ... + 110889.

It is an arithmetic number, because the mean of its divisors is an integer number (1140480).

Almost surely, 248584130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48584130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72990720).

48584130 is an abundant number, since it is smaller than the sum of its proper divisors (97397310).

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

48584130 is a wasteful number, since it uses less digits than its factorization.

48584130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 48584130 is about 6970.2317034658. The cubic root of 48584130 is about 364.8923933747.

The spelling of 48584130 in words is "forty-eight million, five hundred eighty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 31 34 35 42 51 62 70 85 93 102 105 119 155 170 186 210 217 238 255 310 357 434 439 465 510 527 595 651 714 878 930 1054 1085 1190 1302 1317 1581 1785 2170 2195 2634 2635 3073 3162 3255 3570 3689 4390 5270 6146 6510 6585 7378 7463 7905 9219 11067 13170 13609 14926 15365 15810 18438 18445 22134 22389 27218 30730 36890 37315 40827 44778 46095 52241 55335 68045 74630 81654 92190 95263 104482 110670 111945 136090 156723 190526 204135 223890 231353 261205 285789 313446 408270 462706 476315 522410 571578 694059 783615 952630 1156765 1388118 1428945 1567230 1619471 2313530 2857890 3238942 3470295 4858413 6940590 8097355 9716826 16194710 24292065 48584130