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3933228 = 22313191327
BaseRepresentation
bin1111000000010000101100
321101211101010
433000100230
52001330403
6220145220
745301065
oct17002054
97354333
103933228
112247102
121398210
13a79370
1474556c
1552a603
hex3c042c

3933228 has 48 divisors (see below), whose sum is σ = 10411520. Its totient is φ = 1145664.

The previous prime is 3933227. The next prime is 3933233. The reversal of 3933228 is 8223393.

It is a junction number, because it is equal to n+sod(n) for n = 3933195 and 3933204.

It is not an unprimeable number, because it can be changed into a prime (3933221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2301 + ... + 3627.

Almost surely, 23933228 is an apocalyptic number.

3933228 is a gapful number since it is divisible by the number (38) 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 3933228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205760).

3933228 is an abundant number, since it is smaller than the sum of its proper divisors (6478292).

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

3933228 is a wasteful number, since it uses less digits than its factorization.

3933228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1364 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 3933228 is about 1983.2367483485. The cubic root of 3933228 is about 157.8518613643.

The spelling of 3933228 in words is "three million, nine hundred thirty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1327 1482 2654 2964 3981 5308 7962 15924 17251 25213 34502 50426 51753 69004 75639 100852 103506 151278 207012 302556 327769 655538 983307 1311076 1966614 3933228