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1442394576 = 243273192953
BaseRepresentation
bin101010111111001…
…0011000111010000
310201112010020101100
41111332103013100
510423223111301
6355043304400
750513103000
oct12576230720
93645106340
101442394576
11680215437
1234307b100
1319caa321c
14d97ca000
158696b286
hex55f931d0

1442394576 has 480 divisors, whose sum is σ = 5222880000. Its totient is φ = 369847296.

The previous prime is 1442394539. The next prime is 1442394581. The reversal of 1442394576 is 6754932441.

1442394576 is a `hidden beast` number, since 1 + 4 + 42 + 39 + 4 + 576 = 666.

It is a super-2 number, since 2×14423945762 = 4161004225748439552, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27214966 + ... + 27215018.

It is an arithmetic number, because the mean of its divisors is an integer number (10881000).

Almost surely, 21442394576 is an apocalyptic number.

1442394576 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 1442394576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611440000).

1442394576 is an abundant number, since it is smaller than the sum of its proper divisors (3780485424).

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

1442394576 is a wasteful number, since it uses less digits than its factorization.

1442394576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 1442394576 is about 37978.8701253737. The cubic root of 1442394576 is about 1129.8688275441.

The spelling of 1442394576 in words is "one billion, four hundred forty-two million, three hundred ninety-four thousand, five hundred seventy-six".