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448076040 = 23353733967
BaseRepresentation
bin11010101101010…
…001100100001000
31011020010121202220
4122231101210020
51404201413130
6112243454040
714050404066
oct3255214410
91136117686
10448076040
1120aa22185
12106087320
1371aa5069
144371b036
152950d410
hex1ab51908

448076040 has 32 divisors (see below), whose sum is σ = 1344228480. Its totient is φ = 119486912.

The previous prime is 448076029. The next prime is 448076047. The reversal of 448076040 is 40670844.

It is a junction number, because it is equal to n+sod(n) for n = 448075992 and 448076010.

It is not an unprimeable number, because it can be changed into a prime (448076047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1866864 + ... + 1867103.

It is an arithmetic number, because the mean of its divisors is an integer number (42007140).

Almost surely, 2448076040 is an apocalyptic number.

448076040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448076040 is an abundant number, since it is smaller than the sum of its proper divisors (896152440).

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

448076040 is a wasteful number, since it uses less digits than its factorization.

448076040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733981 (or 3733977 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 448076040 is about 21167.8066884597. The cubic root of 448076040 is about 765.2157621144.

The spelling of 448076040 in words is "four hundred forty-eight million, seventy-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3733967 7467934 11201901 14935868 18669835 22403802 29871736 37339670 44807604 56009505 74679340 89615208 112019010 149358680 224038020 448076040