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4082232 = 233711472
BaseRepresentation
bin1111100100101000111000
321200101202210
433210220320
52021112412
6223255120
746461360
oct17445070
97611683
104082232
112339050
12144a4a0
13acc12b
147839a0
1555983c
hex3e4a38

4082232 has 96 divisors (see below), whose sum is σ = 13000320. Its totient is φ = 1037760.

The previous prime is 4082171. The next prime is 4082237. The reversal of 4082232 is 2322804.

4082232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4082199 and 4082208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4082237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86833 + ... + 86879.

It is an arithmetic number, because the mean of its divisors is an integer number (135420).

Almost surely, 24082232 is an apocalyptic number.

4082232 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 4082232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6500160).

4082232 is an abundant number, since it is smaller than the sum of its proper divisors (8918088).

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

4082232 is a wasteful number, since it uses less digits than its factorization.

4082232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4082232 is about 2020.4534144592. The cubic root of 4082232 is about 159.8205279280.

The spelling of 4082232 in words is "four million, eighty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 47 56 66 77 84 88 94 132 141 154 168 188 231 264 282 308 329 376 462 517 564 616 658 924 987 1034 1128 1316 1551 1848 1974 2068 2209 2632 3102 3619 3948 4136 4418 6204 6627 7238 7896 8836 10857 12408 13254 14476 15463 17672 21714 24299 26508 28952 30926 43428 46389 48598 53016 61852 72897 86856 92778 97196 123704 145794 170093 185556 194392 291588 340186 371112 510279 583176 680372 1020558 1360744 2041116 4082232