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42841440 = 2533547211
BaseRepresentation
bin1010001101101…
…1010101100000
32222121120102000
42203123111200
541431411230
64130124000
71030101105
oct243332540
988546360
1042841440
1122201454
1212420600
138b4cc85
145992aac
153b63b60
hex28db560

42841440 has 192 divisors, whose sum is σ = 153861120. Its totient is φ = 11128320.

The previous prime is 42841427. The next prime is 42841451. The reversal of 42841440 is 4414824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202935 + ... + 203145.

It is an arithmetic number, because the mean of its divisors is an integer number (801360).

Almost surely, 242841440 is an apocalyptic number.

42841440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42841440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76930560).

42841440 is an abundant number, since it is smaller than the sum of its proper divisors (111019680).

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

42841440 is a wasteful number, since it uses less digits than its factorization.

42841440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 42841440 is about 6545.3372716767. The cubic root of 42841440 is about 349.9086564352.

The spelling of 42841440 in words is "forty-two million, eight hundred forty-one thousand, four hundred forty".