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2045424 = 24343991
BaseRepresentation
bin111110011010111110000
310211220210110
413303113300
51010423144
6111501320
723246223
oct7632760
93756713
102045424
111177837
12827840
13568014
143b35ba
152a60b9
hex1f35f0

2045424 has 40 divisors (see below), whose sum is σ = 5412352. Its totient is φ = 665280.

The previous prime is 2045377. The next prime is 2045437. The reversal of 2045424 is 4245402.

It is a self number, because there is not a number n which added to its sum of digits gives 2045424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1569 + ... + 2559.

22045424 is an apocalyptic number.

2045424 is a gapful number since it is divisible by the number (24) 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 2045424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2706176).

2045424 is an abundant number, since it is smaller than the sum of its proper divisors (3366928).

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

2045424 is a wasteful number, since it uses less digits than its factorization.

2045424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 2045424 is about 1430.1832050475. The cubic root of 2045424 is about 126.9388177412.

The spelling of 2045424 in words is "two million, forty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 991 1032 1982 2064 2973 3964 5946 7928 11892 15856 23784 42613 47568 85226 127839 170452 255678 340904 511356 681808 1022712 2045424