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448623920 = 24540913711
BaseRepresentation
bin11010101111010…
…111010100110000
31011021011110022202
4122233113110300
51404321431140
6112303322332
714055145313
oct3257272460
91137143282
10448623920
11210266878
121062b03a8
1371c37554
144382097a
15295ba915
hex1abd7530

448623920 has 40 divisors (see below), whose sum is σ = 1045677120. Its totient is φ = 178997760.

The previous prime is 448623887. The next prime is 448623949. The reversal of 448623920 is 29326844.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25865 + ... + 39575.

It is an arithmetic number, because the mean of its divisors is an integer number (26141928).

Almost surely, 2448623920 is an apocalyptic number.

448623920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448623920 is an abundant number, since it is smaller than the sum of its proper divisors (597053200).

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

448623920 is a wasteful number, since it uses less digits than its factorization.

448623920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14133 (or 14127 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 448623920 is about 21180.7440851354. The cubic root of 448623920 is about 765.5275214394.

The spelling of 448623920 in words is "four hundred forty-eight million, six hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 409 818 1636 2045 3272 4090 6544 8180 13711 16360 27422 32720 54844 68555 109688 137110 219376 274220 548440 1096880 5607799 11215598 22431196 28038995 44862392 56077990 89724784 112155980 224311960 448623920