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4106432 = 261119307
BaseRepresentation
bin1111101010100011000000
321201121222002
433222203000
52022401212
6224003132
746622051
oct17524300
97647862
104106432
112355250
1214604a8
13b0a155
1478c728
15561ac2
hex3ea8c0

4106432 has 56 divisors (see below), whose sum is σ = 9387840. Its totient is φ = 1762560.

The previous prime is 4106423. The next prime is 4106441. The reversal of 4106432 is 2346014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4106423) and next prime (4106441).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13223 + ... + 13529.

It is an arithmetic number, because the mean of its divisors is an integer number (167640).

Almost surely, 24106432 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 4106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693920).

4106432 is an abundant number, since it is smaller than the sum of its proper divisors (5281408).

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

4106432 is a wasteful number, since it uses less digits than its factorization.

4106432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4106432 is about 2026.4333198998. The cubic root of 4106432 is about 160.1357181794.

The spelling of 4106432 in words is "four million, one hundred six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 307 352 418 608 614 704 836 1216 1228 1672 2456 3344 3377 4912 5833 6688 6754 9824 11666 13376 13508 19648 23332 27016 46664 54032 64163 93328 108064 128326 186656 216128 256652 373312 513304 1026608 2053216 4106432