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48815640 = 23325135599
BaseRepresentation
bin1011101000110…
…1111000011000
310101212002110200
42322031320120
544444100030
64502142200
71131632436
oct272157030
9111762420
1048815640
1125611a05
1214421960
13a1622c3
1466a9d56
154443d60
hex2e8de18

48815640 has 48 divisors (see below), whose sum is σ = 158652000. Its totient is φ = 13017408.

The previous prime is 48815639. The next prime is 48815659. The reversal of 48815640 is 4651884.

48815640 is a `hidden beast` number, since 4 + 8 + 8 + 1 + 5 + 640 = 666.

48815640 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 48815595 and 48815604.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 67440 + ... + 68159.

It is an arithmetic number, because the mean of its divisors is an integer number (3305250).

Almost surely, 248815640 is an apocalyptic number.

48815640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48815640 is an abundant number, since it is smaller than the sum of its proper divisors (109836360).

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

48815640 is a wasteful number, since it uses less digits than its factorization.

48815640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135616 (or 135609 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 48815640 is about 6986.8190186951. The cubic root of 48815640 is about 365.4710625260.

It can be divided in two parts, 48815 and 640, that added together give a triangular number (49455 = T314).

The spelling of 48815640 in words is "forty-eight million, eight hundred fifteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 135599 271198 406797 542396 677995 813594 1084792 1220391 1355990 1627188 2033985 2440782 2711980 3254376 4067970 4881564 5423960 6101955 8135940 9763128 12203910 16271880 24407820 48815640