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442421520 = 24351843423
BaseRepresentation
bin11010010111101…
…101000100010000
31010211111100020020
4122113231010100
51401224442040
6111522343440
713651343442
oct3227550420
91124440206
10442421520
1120780a922
121041bab80
13708753a8
1442a88492
1528c92cd0
hex1a5ed110

442421520 has 40 divisors (see below), whose sum is σ = 1371507456. Its totient is φ = 117979008.

The previous prime is 442421509. The next prime is 442421527. The reversal of 442421520 is 25124244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4424215202 = 391473602718220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (442421527) 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, 921472 + ... + 921951.

Almost surely, 2442421520 is an apocalyptic number.

442421520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442421520 is an abundant number, since it is smaller than the sum of its proper divisors (929085936).

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

442421520 is a wasteful number, since it uses less digits than its factorization.

442421520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843439 (or 1843433 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 442421520 is about 21033.8184835754. The cubic root of 442421520 is about 761.9832320419.

Adding to 442421520 its reverse (25124244), we get a palindrome (467545764).

The spelling of 442421520 in words is "four hundred forty-two million, four hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1843423 3686846 5530269 7373692 9217115 11060538 14747384 18434230 22121076 27651345 29494768 36868460 44242152 55302690 73736920 88484304 110605380 147473840 221210760 442421520