Search a number
-
+
33428388 = 22372139409
BaseRepresentation
bin111111110000…
…1001110100100
32022220100010110
41333201032210
532024202023
63152253020
7554064600
oct177411644
968810113
1033428388
1117962274
12b241170
136c05616
144622500
152e04a93
hex1fe13a4

33428388 has 72 divisors (see below), whose sum is σ = 91610400. Its totient is φ = 9459072.

The previous prime is 33428383. The next prime is 33428389. The reversal of 33428388 is 88382433.

It is a happy number.

It is a super-2 number, since 2×334283882 = 2234914248557088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33428383) 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, 81528 + ... + 81936.

Almost surely, 233428388 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 33428388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45805200).

33428388 is an abundant number, since it is smaller than the sum of its proper divisors (58182012).

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

33428388 is a wasteful number, since it uses less digits than its factorization.

33428388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 560 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 33428388 is about 5781.7288071995. The cubic root of 33428388 is about 322.1354187813.

The spelling of 33428388 in words is "thirty-three million, four hundred twenty-eight thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 139 147 196 278 294 409 417 556 588 818 834 973 1227 1636 1668 1946 2454 2863 2919 3892 4908 5726 5838 6811 8589 11452 11676 13622 17178 20041 20433 27244 34356 40082 40866 56851 60123 80164 81732 113702 120246 170553 227404 240492 341106 397957 682212 795914 1193871 1591828 2387742 2785699 4775484 5571398 8357097 11142796 16714194 33428388