Search a number
-
+
48548640 = 2535714449
BaseRepresentation
bin1011100100110…
…0101100100000
310101100112012210
42321030230200
544412024030
64452322120
71126441140
oct271145440
9111315183
1048548640
112544a348
1214313340
13a09a90a
14663a920
1543debb0
hex2e4cb20

48548640 has 96 divisors (see below), whose sum is σ = 174787200. Its totient is φ = 11096064.

The previous prime is 48548623. The next prime is 48548641. The reversal of 48548640 is 4684584.

48548640 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48548641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3865 + ... + 10584.

It is an arithmetic number, because the mean of its divisors is an integer number (1820700).

Almost surely, 248548640 is an apocalyptic number.

48548640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48548640 is an abundant number, since it is smaller than the sum of its proper divisors (126238560).

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

48548640 is a wasteful number, since it uses less digits than its factorization.

48548640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14474 (or 14466 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 48548640 is about 6967.6854119571. The cubic root of 48548640 is about 364.8035222036.

The spelling of 48548640 in words is "forty-eight million, five hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 14449 28898 43347 57796 72245 86694 101143 115592 144490 173388 202286 216735 231184 288980 303429 346776 404572 433470 462368 505715 577960 606858 693552 809144 866940 1011430 1155920 1213716 1387104 1517145 1618288 1733880 2022860 2311840 2427432 3034290 3236576 3467760 4045720 4854864 6068580 6935520 8091440 9709728 12137160 16182880 24274320 48548640