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442124010 = 23254912489
BaseRepresentation
bin11010010110100…
…100011011101010
31010210221020010100
4122112210123222
51401140432020
6111512130230
713645664166
oct3226443352
91123836110
10442124010
11207627349
12104096976
137079cb53
1442a0bca6
1528c34a90
hex1a5a46ea

442124010 has 24 divisors (see below), whose sum is σ = 1149522660. Its totient is φ = 117899712.

The previous prime is 442124003. The next prime is 442124027. The reversal of 442124010 is 10421244.

442124010 is a `hidden beast` number, since 4 + 421 + 240 + 1 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 441126009 + 998001 = 21003^2 + 999^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2456155 + ... + 2456334.

Almost surely, 2442124010 is an apocalyptic number.

442124010 is an abundant number, since it is smaller than the sum of its proper divisors (707398650).

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

442124010 is a wasteful number, since it uses less digits than its factorization.

442124010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4912502 (or 4912499 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 442124010 is about 21026.7451118807. The cubic root of 442124010 is about 761.8123931059.

Adding to 442124010 its reverse (10421244), we get a palindrome (452545254).

The spelling of 442124010 in words is "four hundred forty-two million, one hundred twenty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 4912489 9824978 14737467 24562445 29474934 44212401 49124890 73687335 88424802 147374670 221062005 442124010