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442142040 = 23353684517
BaseRepresentation
bin11010010110101…
…000110101011000
31010210222010212010
4122112220311120
51401142021130
6111512345520
713646100564
oct3226506530
91123863763
10442142040
1120763994a
121040a52a0
13707a8112
1442a146a4
1528c3a0b0
hex1a5a8d58

442142040 has 32 divisors (see below), whose sum is σ = 1326426480. Its totient is φ = 117904512.

The previous prime is 442141957. The next prime is 442142053. The reversal of 442142040 is 40241244.

It is a junction number, because it is equal to n+sod(n) for n = 442141998 and 442142016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1842139 + ... + 1842378.

Almost surely, 2442142040 is an apocalyptic number.

442142040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442142040 is an abundant number, since it is smaller than the sum of its proper divisors (884284440).

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

442142040 is a wasteful number, since it uses less digits than its factorization.

442142040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684531 (or 3684527 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 442142040 is about 21027.1738471912. The cubic root of 442142040 is about 761.8227486400.

Adding to 442142040 its reverse (40241244), we get a palindrome (482383284).

The spelling of 442142040 in words is "four hundred forty-two million, one hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3684517 7369034 11053551 14738068 18422585 22107102 29476136 36845170 44214204 55267755 73690340 88428408 110535510 147380680 221071020 442142040