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1448023000 = 23534730809
BaseRepresentation
bin101011001001111…
…0001001111011000
310201220201012010111
41112103301033120
510431143214000
6355404054104
750611664254
oct12623611730
93656635114
101448023000
1168340a126
12344b34334
131a0cc4058
14da453264
15871cdcba
hex564f13d8

1448023000 has 64 divisors (see below), whose sum is σ = 3460579200. Its totient is φ = 566867200.

The previous prime is 1448022973. The next prime is 1448023001. The reversal of 1448023000 is 3208441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1448023001) 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, 31596 + ... + 62404.

It is an arithmetic number, because the mean of its divisors is an integer number (54071550).

Almost surely, 21448023000 is an apocalyptic number.

1448023000 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 1448023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730289600).

1448023000 is an abundant number, since it is smaller than the sum of its proper divisors (2012556200).

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

1448023000 is a wasteful number, since it uses less digits than its factorization.

1448023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30877 (or 30863 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1448023000 is about 38052.8973929713. The cubic root of 1448023000 is about 1131.3365551428.

The spelling of 1448023000 in words is "one billion, four hundred forty-eight million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 940 1000 1175 1880 2350 4700 5875 9400 11750 23500 30809 47000 61618 123236 154045 246472 308090 616180 770225 1232360 1448023 1540450 2896046 3080900 3851125 5792092 6161800 7240115 7702250 11584184 14480230 15404500 28960460 30809000 36200575 57920920 72401150 144802300 181002875 289604600 362005750 724011500 1448023000