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1492614144 = 210327171361
BaseRepresentation
bin101100011110111…
…0111110000000000
310212000121122200100
41120331313300000
511024102123034
6404035522400
751663003510
oct13075676000
93760548610
101492614144
116a65a610a
12357a59400
131aa307548
1410233d840
158b08b099
hex58f77c00

1492614144 has 264 divisors, whose sum is σ = 5219162208. Its totient is φ = 401080320.

The previous prime is 1492614139. The next prime is 1492614169. The reversal of 1492614144 is 4414162941.

It is a happy number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1492614099 and 1492614108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1096024 + ... + 1097384.

Almost surely, 21492614144 is an apocalyptic number.

1492614144 is a gapful number since it is divisible by the number (14) 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 1492614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609581104).

1492614144 is an abundant number, since it is smaller than the sum of its proper divisors (3726548064).

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

1492614144 is a wasteful number, since it uses less digits than its factorization.

1492614144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1390 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1492614144 is about 38634.3648064777. The cubic root of 1492614144 is about 1142.8323293660.

The spelling of 1492614144 in words is "one billion, four hundred ninety-two million, six hundred fourteen thousand, one hundred forty-four".