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428549940 = 223657131719
BaseRepresentation
bin11001100010110…
…010011100110100
31002212101121000000
4121202302130310
51334202044230
6110305151300
713422420510
oct3142623464
91085347000
10428549940
111aa9a5a05
12bb62b530
136aa29560
1440cb7140
1527952b60
hex198b2734

428549940 has 672 divisors, whose sum is σ = 1850929920. Its totient is φ = 80621568.

The previous prime is 428549881. The next prime is 428549951. The reversal of 428549940 is 49945824.

428549940 is a `hidden beast` number, since 42 + 85 + 499 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 22555251 + ... + 22555269.

It is an arithmetic number, because the mean of its divisors is an integer number (2754360).

Almost surely, 2428549940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428549940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925464960).

428549940 is an abundant number, since it is smaller than the sum of its proper divisors (1422379980).

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

428549940 is a wasteful number, since it uses less digits than its factorization.

428549940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 428549940 is about 20701.4477754576. The cubic root of 428549940 is about 753.9348399436.

The spelling of 428549940 in words is "four hundred twenty-eight million, five hundred forty-nine thousand, nine hundred forty".