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1442883840 = 28351723312
BaseRepresentation
bin101011000000000…
…1010100100000000
310201120001002112020
41112000022210000
510423334240330
6355102001440
750520211266
oct12600124400
93646032466
101442883840
11680519a92
12343276280
1319cc14b28
14d98b6436
1586a16210
hex5600a900

1442883840 has 432 divisors, whose sum is σ = 5260961664. Its totient is φ = 335216640.

The previous prime is 1442883833. The next prime is 1442883847. The reversal of 1442883840 is 483882441.

It is an interprime number because it is at equal distance from previous prime (1442883833) and next prime (1442883847).

It is a junction number, because it is equal to n+sod(n) for n = 1442883792 and 1442883801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442883847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46544625 + ... + 46544655.

It is an arithmetic number, because the mean of its divisors is an integer number (12178152).

Almost surely, 21442883840 is an apocalyptic number.

1442883840 is a gapful number since it is divisible by the number (10) 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 1442883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630480832).

1442883840 is an abundant number, since it is smaller than the sum of its proper divisors (3818077824).

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

1442883840 is a wasteful number, since it uses less digits than its factorization.

1442883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The square root of 1442883840 is about 37985.3108451149. The cubic root of 1442883840 is about 1129.9965645861.

The spelling of 1442883840 in words is "one billion, four hundred forty-two million, eight hundred eighty-three thousand, eight hundred forty".