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1448455680 = 29325721283
BaseRepresentation
bin101011001010101…
…1010111000000000
310201221112011122200
41112111122320000
510431301040210
6355421233200
750615445600
oct12625327000
93657464580
101448455680
11683685211
12345102800
131a1115c89
14da526c00
15872670c0
hex5655ae00

1448455680 has 360 divisors, whose sum is σ = 5839963272. Its totient is φ = 330817536.

The previous prime is 1448455661. The next prime is 1448455703. The reversal of 1448455680 is 865548441.

It is a happy number.

1448455680 is a `hidden beast` number, since 1 + 4 + 4 + 84 + 5 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1128319 + ... + 1129601.

Almost surely, 21448455680 is an apocalyptic number.

1448455680 is a gapful number since it is divisible by the number (10) 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 1448455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919981636).

1448455680 is an abundant number, since it is smaller than the sum of its proper divisors (4391507592).

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

1448455680 is a wasteful number, since it uses less digits than its factorization.

1448455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 1448455680 is about 38058.5822121634. The cubic root of 1448455680 is about 1131.4492278357.

The spelling of 1448455680 in words is "one billion, four hundred forty-eight million, four hundred fifty-five thousand, six hundred eighty".