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48649680 = 24 ⋅ 33 ⋅ 5 ⋅ 101 ⋅ 223
BaseRepresentation
bin1011100110010…
……1010111010000
310101112122211000
42321211113100
544423242210
64454422000
71130341542
oct271452720
9111478730
1048649680
1125509252
1214361900
13a1048c1
146665692
15440eac0
hex2e655d0

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(max 15 digits)

48649680 has 160 divisors (see below), whose sum is σ = 169989120. Its totient is φ = 12787200.

The previous prime is 48649661. The next prime is 48649687. The reversal of 48649680 is 8694684.

It is a happy number.

48649680 is a `hidden beast` number, since 4 + 86 + 496 + 80 = 666.

48649680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48649687) 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, 218049 + ... + 218271.

It is an arithmetic number, because the mean of its divisors is an integer number (1062432).

Almost surely, 248649680 is an apocalyptic number.

48649680 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 48649680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84994560).

48649680 is an abundant number, since it is smaller than the sum of its proper divisors (121339440).

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

48649680 is a wasteful number, since it uses less digits than its factorization.

48649680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 48649680 is about 6974.9322577356. The cubic root of 48649680 is about 365.0564246291.

The spelling of 48649680 in words is "forty-eight million, six hundred forty-nine 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 90 101 108 120 135 144 180 202 216 223 240 270 303 360 404 432 446 505 540 606 669 720 808 892 909 1010 1080 1115 1212 1338 1515 1616 1784 1818 2007 2020 2160 2230 2424 2676 2727 3030 3345 3568 3636 4014 4040 4460 4545 4848 5352 5454 6021 6060 6690 7272 8028 8080 8920 9090 10035 10704 10908 12042 12120 13380 13635 14544 16056 17840 18180 20070 21816 22523 24084 24240 26760 27270 30105 32112 36360 40140 43632 45046 48168 53520 54540 60210 67569 72720 80280 90092 96336 109080 112615 120420 135138 160560 180184 202707 218160 225230 240840 270276 337845 360368 405414 450460 481680 540552 608121 675690 810828 900920 1013535 1081104 1216242 1351380 1621656 1801840 2027070 2432484 2702760 3040605 3243312 4054140 4864968 5405520 6081210 8108280 9729936 12162420 16216560 24324840 48649680