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2083428 = 2233101191
BaseRepresentation
bin111111100101001100100
310220211221000
413330221210
51013132203
6112353300
723465064
oct7745144
93824830
102083428
1111a3346
12845830
1357c3c9
143c33a4
152b24a3
hex1fca64

2083428 has 48 divisors (see below), whose sum is σ = 5483520. Its totient is φ = 684000.

The previous prime is 2083427. The next prime is 2083441. The reversal of 2083428 is 8243802.

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

It is not an unprimeable number, because it can be changed into a prime (2083421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10813 + ... + 11003.

It is an arithmetic number, because the mean of its divisors is an integer number (114240).

22083428 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 2083428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741760).

2083428 is an abundant number, since it is smaller than the sum of its proper divisors (3400092).

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

2083428 is a wasteful number, since it uses less digits than its factorization.

2083428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2083428 is about 1443.4084660968. The cubic root of 2083428 is about 127.7201732085.

The spelling of 2083428 in words is "two million, eighty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 191 202 303 382 404 573 606 764 909 1146 1212 1719 1818 2292 2727 3438 3636 5157 5454 6876 10314 10908 19291 20628 38582 57873 77164 115746 173619 231492 347238 520857 694476 1041714 2083428