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1442432992 = 25731113919
BaseRepresentation
bin101010111111001…
…1100011111100000
310201112012012002011
41111332130133200
510423230323432
6355044202304
750513323000
oct12576343740
93645165064
101442432992
11680241290
12343099394
1319cab7860
14d97da000
1586977847
hex55f9c7e0

1442432992 has 192 divisors, whose sum is σ = 3894912000. Its totient is φ = 518192640.

The previous prime is 1442432989. The next prime is 1442433029. The reversal of 1442432992 is 2992342441.

It is a super-2 number, since 2×14424329922 = 4161225872820144128, 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 31 ways as a sum of consecutive naturals, for example, 1569109 + ... + 1570027.

It is an arithmetic number, because the mean of its divisors is an integer number (20286000).

Almost surely, 21442432992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442432992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947456000).

1442432992 is an abundant number, since it is smaller than the sum of its proper divisors (2452479008).

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

1442432992 is a wasteful number, since it uses less digits than its factorization.

1442432992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 952 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 1442432992 is about 37979.3758769151. The cubic root of 1442432992 is about 1129.8788582380.

It can be divided in two parts, 1442 and 432992, that added together give a palindrome (434434).

The spelling of 1442432992 in words is "one billion, four hundred forty-two million, four hundred thirty-two thousand, nine hundred ninety-two".