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4228032 = 26319261
BaseRepresentation
bin10000001000001111000000
321221210202210
4100020033000
52040244112
6230342120
750636424
oct20101700
97853683
104228032
112428646
1214ba940
13b505c3
147c0b84
15587b3c
hex4083c0

4228032 has 84 divisors (see below), whose sum is σ = 11999976. Its totient is φ = 1313280.

The previous prime is 4228031. The next prime is 4228039. The reversal of 4228032 is 2308224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4228031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69282 + ... + 69342.

Almost surely, 24228032 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 4228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999988).

4228032 is an abundant number, since it is smaller than the sum of its proper divisors (7771944).

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

4228032 is a wasteful number, since it uses less digits than its factorization.

4228032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 85 counting only the distinct ones).

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

The square root of 4228032 is about 2056.2178872872. The cubic root of 4228032 is about 161.7010184321.

The spelling of 4228032 in words is "four million, two hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 64 76 96 114 122 152 183 192 228 244 304 361 366 456 488 608 722 732 912 976 1083 1159 1216 1444 1464 1824 1952 2166 2318 2888 2928 3477 3648 3904 4332 4636 5776 5856 6954 8664 9272 11552 11712 13908 17328 18544 22021 23104 27816 34656 37088 44042 55632 66063 69312 74176 88084 111264 132126 176168 222528 264252 352336 528504 704672 1057008 1409344 2114016 4228032