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448064920 = 23517658919
BaseRepresentation
bin11010101101001…
…110110110011000
31011020010001112001
4122231032312120
51404201034140
6112243330344
714050326502
oct3255166630
91136101461
10448064920
1120aa14896
121060809b4
1371a9cc94
1443716d72
1529509e9a
hex1ab4ed98

448064920 has 32 divisors (see below), whose sum is σ = 1067450400. Its totient is φ = 168683008.

The previous prime is 448064887. The next prime is 448064923. The reversal of 448064920 is 29460844.

It is a self number, because there is not a number n which added to its sum of digits gives 448064920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448064923) 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, 328780 + ... + 330139.

It is an arithmetic number, because the mean of its divisors is an integer number (33357825).

Almost surely, 2448064920 is an apocalyptic number.

448064920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448064920 is an abundant number, since it is smaller than the sum of its proper divisors (619385480).

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

448064920 is a wasteful number, since it uses less digits than its factorization.

448064920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658947 (or 658943 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 448064920 is about 21167.5440238115. The cubic root of 448064920 is about 765.2094318870.

The spelling of 448064920 in words is "four hundred forty-eight million, sixty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 658919 1317838 2635676 3294595 5271352 6589190 11201623 13178380 22403246 26356760 44806492 56008115 89612984 112016230 224032460 448064920