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1442460096 = 263371137293
BaseRepresentation
bin101010111111010…
…0011000111000000
310201112020120021000
41111332203013000
510423232210341
6355044532000
750513465010
oct12576430700
93645216230
101442460096
1168025a690
123430b1000
1319cac6cac
14d9805c40
15869808b6
hex55fa31c0

1442460096 has 448 divisors, whose sum is σ = 5448360960. Its totient is φ = 363294720.

The previous prime is 1442460067. The next prime is 1442460139. The reversal of 1442460096 is 6900642441.

1442460096 is a `hidden beast` number, since 1 + 4 + 42 + 4 + 600 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×14424600962 = 4161382257104658432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1442460096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4922926 + ... + 4923218.

It is an arithmetic number, because the mean of its divisors is an integer number (12161520).

Almost surely, 21442460096 is an apocalyptic number.

1442460096 is a gapful number since it is divisible by the number (16) 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 1442460096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724180480).

1442460096 is an abundant number, since it is smaller than the sum of its proper divisors (4005900864).

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

1442460096 is a wasteful number, since it uses less digits than its factorization.

1442460096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1442460096 is about 37979.7327004812. The cubic root of 1442460096 is about 1129.8859351802.

The spelling of 1442460096 in words is "one billion, four hundred forty-two million, four hundred sixty thousand, ninety-six".