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442132040 = 23571579043
BaseRepresentation
bin11010010110100…
…110011001001000
31010210221122010202
4122112212121020
51401141211130
6111512231332
713646026460
oct3226463110
91123848122
10442132040
11207632389
1210409b548
13707a36bc
1442a10ba0
1528c37145
hex1a5a6648

442132040 has 32 divisors (see below), whose sum is σ = 1136911680. Its totient is φ = 151588032.

The previous prime is 442132003. The next prime is 442132043. The reversal of 442132040 is 40231244.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (442132043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 789242 + ... + 789801.

It is an arithmetic number, because the mean of its divisors is an integer number (35528490).

Almost surely, 2442132040 is an apocalyptic number.

442132040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442132040 is an abundant number, since it is smaller than the sum of its proper divisors (694779640).

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

442132040 is a wasteful number, since it uses less digits than its factorization.

442132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579061 (or 1579057 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 442132040 is about 21026.9360583039. The cubic root of 442132040 is about 761.8170051728.

Adding to 442132040 its reverse (40231244), we get a palindrome (482363284).

The spelling of 442132040 in words is "four hundred forty-two million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1579043 3158086 6316172 7895215 11053301 12632344 15790430 22106602 31580860 44213204 55266505 63161720 88426408 110533010 221066020 442132040