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4198128 = 243117951
BaseRepresentation
bin10000000000111011110000
321220021202020
4100000323300
52033320003
6225551440
750453304
oct20007360
97807666
104198128
112408130
1214a5580
13b3cacc
147b3d04
1557dd53
hex400ef0

4198128 has 40 divisors (see below), whose sum is σ = 11832576. Its totient is φ = 1272000.

The previous prime is 4198111. The next prime is 4198141. The reversal of 4198128 is 8218914.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 3448 + ... + 4503.

Almost surely, 24198128 is an apocalyptic number.

4198128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4198128 is an abundant number, since it is smaller than the sum of its proper divisors (7634448).

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

4198128 is a wasteful number, since it uses less digits than its factorization.

4198128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7973 (or 7967 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 4198128 is about 2048.9333810546. The cubic root of 4198128 is about 161.3188901003.

The spelling of 4198128 in words is "four million, one hundred ninety-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 7951 15902 23853 31804 47706 63608 87461 95412 127216 174922 190824 262383 349844 381648 524766 699688 1049532 1399376 2099064 4198128