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48865680 = 243457541
BaseRepresentation
bin1011101001101…
…0000110010000
310101221122010000
42322122012100
5100002200210
64503210000
71132231353
oct272320620
9111848100
1048865680
1125646566
1214446900
13a17c006
1466c029a
154453ac0
hex2e9a190

48865680 has 100 divisors (see below), whose sum is σ = 169740252. Its totient is φ = 13029120.

The previous prime is 48865657. The next prime is 48865693. The reversal of 48865680 is 8656884.

48865680 is a `hidden beast` number, since 4 + 8 + 86 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10969344 + 37896336 = 3312^2 + 6156^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 2710 + ... + 10250.

Almost surely, 248865680 is an apocalyptic number.

48865680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48865680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84870126).

48865680 is an abundant number, since it is smaller than the sum of its proper divisors (120874572).

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

48865680 is a wasteful number, since it uses less digits than its factorization.

48865680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7566 (or 7551 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 48865680 is about 6990.3991302357. The cubic root of 48865680 is about 365.5958990645.

The spelling of 48865680 in words is "forty-eight million, eight hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 7541 15082 22623 30164 37705 45246 60328 67869 75410 90492 113115 120656 135738 150820 180984 203607 226230 271476 301640 339345 361968 407214 452460 542952 603280 610821 678690 814428 904920 1018035 1085904 1221642 1357380 1628856 1809840 2036070 2443284 2714760 3054105 3257712 4072140 4886568 5429520 6108210 8144280 9773136 12216420 16288560 24432840 48865680