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442425240 = 23355231979
BaseRepresentation
bin11010010111101…
…101111110011000
31010211111112100000
4122113231332120
51401230101430
6111522413000
713651360335
oct3227557630
91124445300
10442425240
112078126a4
12104201160
1370876caa
1442a8998c
1528c93e60
hex1a5edf98

442425240 has 192 divisors, whose sum is σ = 1556755200. Its totient is φ = 112793472.

The previous prime is 442425239. The next prime is 442425281. The reversal of 442425240 is 42524244.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222571 + ... + 224549.

It is an arithmetic number, because the mean of its divisors is an integer number (8108100).

Almost surely, 2442425240 is an apocalyptic number.

442425240 is a gapful number since it is divisible by the number (40) 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 442425240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778377600).

442425240 is an abundant number, since it is smaller than the sum of its proper divisors (1114329960).

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

442425240 is a wasteful number, since it uses less digits than its factorization.

442425240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 442425240 is about 21033.9069124117. The cubic root of 442425240 is about 761.9853676898.

Adding to 442425240 its reverse (42524244), we get a palindrome (484949484).

The spelling of 442425240 in words is "four hundred forty-two million, four hundred twenty-five thousand, two hundred forty".