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4106232 = 23321341107
BaseRepresentation
bin1111101010011111111000
321201121200200
433222133320
52022344412
6224002200
746621344
oct17523770
97647620
104106232
112355089
121460360
13b0a030
1478c624
155619dc
hex3ea7f8

4106232 has 96 divisors (see below), whose sum is σ = 12383280. Its totient is φ = 1221120.

The previous prime is 4106227. The next prime is 4106237. The reversal of 4106232 is 2326014.

It is a happy number.

4106232 is a `hidden beast` number, since 41 + 0 + 623 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4106227) and next prime (4106237).

It is a super-2 number, since 2×41062322 = 33722282475648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38323 + ... + 38429.

Almost surely, 24106232 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 4106232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191640).

4106232 is an abundant number, since it is smaller than the sum of its proper divisors (8277048).

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

4106232 is a wasteful number, since it uses less digits than its factorization.

4106232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4106232 is about 2026.3839715118. The cubic root of 4106232 is about 160.1331183828.

The spelling of 4106232 in words is "four million, one hundred six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 41 52 72 78 82 104 107 117 123 156 164 214 234 246 312 321 328 369 428 468 492 533 642 738 856 936 963 984 1066 1284 1391 1476 1599 1926 2132 2568 2782 2952 3198 3852 4173 4264 4387 4797 5564 6396 7704 8346 8774 9594 11128 12519 12792 13161 16692 17548 19188 25038 26322 33384 35096 38376 39483 50076 52644 57031 78966 100152 105288 114062 157932 171093 228124 315864 342186 456248 513279 684372 1026558 1368744 2053116 4106232