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4045032 = 233361307
BaseRepresentation
bin1111011011100011101000
321121111202000
433123203220
52013420112
6222411000
746245045
oct17334350
97544660
104045032
112313102
121430a60
13ab8214
147741cc
1554d7dc
hex3db8e8

4045032 has 64 divisors (see below), whose sum is σ = 11457600. Its totient is φ = 1321920.

The previous prime is 4045009. The next prime is 4045049. The reversal of 4045032 is 2305404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4044996 and 4045014.

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 15 ways as a sum of consecutive naturals, for example, 13023 + ... + 13329.

It is an arithmetic number, because the mean of its divisors is an integer number (179025).

Almost surely, 24045032 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 4045032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728800).

4045032 is an abundant number, since it is smaller than the sum of its proper divisors (7412568).

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

4045032 is a wasteful number, since it uses less digits than its factorization.

4045032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 4045032 is about 2011.2264914723. The cubic root of 4045032 is about 159.3335823171. Note that the first 3 decimals are identical.

The spelling of 4045032 in words is "four million, forty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 307 366 488 549 614 732 921 1098 1228 1464 1647 1842 2196 2456 2763 3294 3684 4392 5526 6588 7368 8289 11052 13176 16578 18727 22104 33156 37454 56181 66312 74908 112362 149816 168543 224724 337086 449448 505629 674172 1011258 1348344 2022516 4045032