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442401012 = 223212288917
BaseRepresentation
bin11010010111101…
…000000011110100
31010211110022002200
4122113220003310
51401223313022
6111522104500
713651226604
oct3227500364
91124408080
10442401012
112077a6479
121041ab130
1370868c61
1442a80c04
1528c8bbac
hex1a5e80f4

442401012 has 18 divisors (see below), whose sum is σ = 1118291538. Its totient is φ = 147466992.

The previous prime is 442400983. The next prime is 442401053. The reversal of 442401012 is 210104244.

It can be written as a sum of positive squares in only one way, i.e., 429484176 + 12916836 = 20724^2 + 3594^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6144423 + ... + 6144494.

Almost surely, 2442401012 is an apocalyptic number.

It is an amenable number.

442401012 is an abundant number, since it is smaller than the sum of its proper divisors (675890526).

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

442401012 is a wasteful number, since it uses less digits than its factorization.

442401012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12288927 (or 12288922 counting only the distinct ones).

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

The square root of 442401012 is about 21033.3309772846. The cubic root of 442401012 is about 761.9714582072.

Adding to 442401012 its reverse (210104244), we get a palindrome (652505256).

The spelling of 442401012 in words is "four hundred forty-two million, four hundred one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 12288917 24577834 36866751 49155668 73733502 110600253 147467004 221200506 442401012