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1423985472 = 263272133881
BaseRepresentation
bin101010011100000…
…0100101101000000
310200020110221211200
41110320010231000
510404020013342
6353144541200
750200451100
oct12470045500
93606427750
101423985472
116708913a8
12338a81800
13199028c70
14d7197200
158503194c
hex54e04b40

1423985472 has 252 divisors, whose sum is σ = 5114527236. Its totient is φ = 375459840.

The previous prime is 1423985471. The next prime is 1423985491. The reversal of 1423985472 is 2745893241.

1423985472 is a `hidden beast` number, since 14 + 2 + 3 + 98 + 547 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 529736256 + 894249216 = 23016^2 + 29904^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1423985471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 364972 + ... + 368852.

It is an arithmetic number, because the mean of its divisors is an integer number (20295743).

Almost surely, 21423985472 is an apocalyptic number.

1423985472 is a gapful number since it is divisible by the number (12) 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 1423985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557263618).

1423985472 is an abundant number, since it is smaller than the sum of its proper divisors (3690541764).

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

1423985472 is a wasteful number, since it uses less digits than its factorization.

1423985472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 3906 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1423985472 is about 37735.7320321204. The cubic root of 1423985472 is about 1125.0414396587.

The spelling of 1423985472 in words is "one billion, four hundred twenty-three million, nine hundred eighty-five thousand, four hundred seventy-two".