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1424981376 = 273371323197
BaseRepresentation
bin101010011101111…
…0111110110000000
310200022100112222000
41110323313312000
510404243401001
6353222144000
750212066440
oct12473676600
93608315860
101424981376
11671401665
12339282000
131992b7360
14d7376120
158517ba86
hex54ef7d80

1424981376 has 512 divisors, whose sum is σ = 5428684800. Its totient is φ = 357654528.

The previous prime is 1424981359. The next prime is 1424981387. The reversal of 1424981376 is 6731894241.

1424981376 is a `hidden beast` number, since 1 + 424 + 98 + 137 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7233310 + ... + 7233506.

It is an arithmetic number, because the mean of its divisors is an integer number (10602900).

Almost surely, 21424981376 is an apocalyptic number.

1424981376 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 1424981376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714342400).

1424981376 is an abundant number, since it is smaller than the sum of its proper divisors (4003703424).

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

1424981376 is a wasteful number, since it uses less digits than its factorization.

1424981376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 245 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1424981376 is about 37748.9254946416. The cubic root of 1424981376 is about 1125.3036549203.

The spelling of 1424981376 in words is "one billion, four hundred twenty-four million, nine hundred eighty-one thousand, three hundred seventy-six".