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4540032 = 27327563
BaseRepresentation
bin10001010100011010000000
322112122202100
4101110122000
52130240112
6241150400
753406150
oct21243200
98478670
104540032
112620aa2
12162b400
13c2c613
14862760
155ea2dc
hex454680

4540032 has 96 divisors (see below), whose sum is σ = 14957280. Its totient is φ = 1294848.

The previous prime is 4540027. The next prime is 4540049. The reversal of 4540032 is 2300454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×45400322 = 41223781122048, which contains 22 as substring.

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 = 4539987 and 4540014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7783 + ... + 8345.

It is an arithmetic number, because the mean of its divisors is an integer number (155805).

Almost surely, 24540032 is an apocalyptic number.

4540032 is a gapful number since it is divisible by the number (42) 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 4540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7478640).

4540032 is an abundant number, since it is smaller than the sum of its proper divisors (10417248).

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

4540032 is a wasteful number, since it uses less digits than its factorization.

4540032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 575 counting only the distinct ones).

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

The square root of 4540032 is about 2130.7350844251. The cubic root of 4540032 is about 165.5844835983.

Adding to 4540032 its reverse (2300454), we get a palindrome (6840486).

The spelling of 4540032 in words is "four million, five hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 563 576 672 896 1008 1126 1152 1344 1689 2016 2252 2688 3378 3941 4032 4504 5067 6756 7882 8064 9008 10134 11823 13512 15764 18016 20268 23646 27024 31528 35469 36032 40536 47292 54048 63056 70938 72064 81072 94584 108096 126112 141876 162144 189168 216192 252224 283752 324288 378336 504448 567504 648576 756672 1135008 1513344 2270016 4540032