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4448286040 = 2351117956479
BaseRepresentation
bin1000010010010001…
…10111010101011000
3102111000020100021211
410021020313111120
533102230123130
62013222112504
7215142543652
oct41110672530
912430210254
104448286040
111982a3a160
12a4187b734
1355b76b223
14302ac76d2
151b07c5a2a
hex109237558

4448286040 has 64 divisors (see below), whose sum is σ = 10979712000. Its totient is φ = 1608493440.

The previous prime is 4448285993. The next prime is 4448286041. The reversal of 4448286040 is 406828444.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4448285984 and 4448286002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4448286041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50521 + ... + 106999.

It is an arithmetic number, because the mean of its divisors is an integer number (171558000).

Almost surely, 24448286040 is an apocalyptic number.

4448286040 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 4448286040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489856000).

4448286040 is an abundant number, since it is smaller than the sum of its proper divisors (6531425960).

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

4448286040 is a wasteful number, since it uses less digits than its factorization.

4448286040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56680 (or 56676 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 40.

The square root of 4448286040 is about 66695.4724100519. The cubic root of 4448286040 is about 1644.6149559347.

The spelling of 4448286040 in words is "four billion, four hundred forty-eight million, two hundred eighty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 179 220 358 440 716 895 1432 1790 1969 3580 3938 7160 7876 9845 15752 19690 39380 56479 78760 112958 225916 282395 451832 564790 621269 1129580 1242538 2259160 2485076 3106345 4970152 6212690 10109741 12425380 20219482 24850760 40438964 50548705 80877928 101097410 111207151 202194820 222414302 404389640 444828604 556035755 889657208 1112071510 2224143020 4448286040