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442135904 = 2571973821
BaseRepresentation
bin11010010110100…
…111010101100000
31010210221211102212
4122112213111200
51401141322104
6111512301252
713646043650
oct3226472540
91123854385
10442135904
11207635281
121040a1828
13707a53a2
1442a12360
1528c3836e
hex1a5a7560

442135904 has 24 divisors (see below), whose sum is σ = 994806288. Its totient is φ = 189486720.

The previous prime is 442135901. The next prime is 442135921. The reversal of 442135904 is 409531244.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442135901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 986687 + ... + 987134.

It is an arithmetic number, because the mean of its divisors is an integer number (41450262).

Almost surely, 2442135904 is an apocalyptic number.

It is an amenable number.

442135904 is an abundant number, since it is smaller than the sum of its proper divisors (552670384).

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

442135904 is a wasteful number, since it uses less digits than its factorization.

442135904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973838 (or 1973830 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 442135904 is about 21027.0279402487. The cubic root of 442135904 is about 761.8192244588.

The spelling of 442135904 in words is "four hundred forty-two million, one hundred thirty-five thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1973821 3947642 7895284 13816747 15790568 27633494 31581136 55266988 63162272 110533976 221067952 442135904