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48381440 = 29518899
BaseRepresentation
bin1011100010001…
…1111000000000
310101001000212012
42320203320000
544341201230
64444552052
71125143522
oct270437000
9111030765
1048381440
1125345768
1214252628
13a03c793
1465d5a12
1543aa395
hex2e23e00

48381440 has 40 divisors (see below), whose sum is σ = 116008200. Its totient is φ = 19351552.

The previous prime is 48381409. The next prime is 48381449. The reversal of 48381440 is 4418384.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 48381397 and 48381406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48381449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6890 + ... + 12009.

It is an arithmetic number, because the mean of its divisors is an integer number (2900205).

Almost surely, 248381440 is an apocalyptic number.

48381440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48381440 is an abundant number, since it is smaller than the sum of its proper divisors (67626760).

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

48381440 is an equidigital number, since it uses as much as digits as its factorization.

48381440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18922 (or 18906 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 48381440 is about 6955.6768182543. The cubic root of 48381440 is about 364.3842498684.

The spelling of 48381440 in words is "forty-eight million, three hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 18899 37798 75596 94495 151192 188990 302384 377980 604768 755960 1209536 1511920 2419072 3023840 4838144 6047680 9676288 12095360 24190720 48381440