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33245628 = 22313534021
BaseRepresentation
bin111111011010…
…0100110111100
32022120001102120
41332310212330
532002330003
63144322540
7552404013
oct176644674
968501376
1033245628
1117847a29
12b173450
136b70390
1445b5a7a
152dba853
hex1fb49bc

33245628 has 48 divisors (see below), whose sum is σ = 85137696. Its totient is φ = 10033920.

The previous prime is 33245627. The next prime is 33245633. The reversal of 33245628 is 82654233.

It is a happy number.

It is a super-2 number, since 2×332456282 = 2210543562228768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33245621) 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, 6258 + ... + 10278.

It is an arithmetic number, because the mean of its divisors is an integer number (1773702).

Almost surely, 233245628 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 33245628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42568848).

33245628 is an abundant number, since it is smaller than the sum of its proper divisors (51892068).

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

33245628 is a wasteful number, since it uses less digits than its factorization.

33245628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4094 (or 4092 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 33245628 is about 5765.9021843940. The cubic root of 33245628 is about 321.5472850529.

The spelling of 33245628 in words is "thirty-three million, two hundred forty-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1378 2067 2756 4021 4134 8042 8268 12063 16084 24126 48252 52273 104546 156819 209092 213113 313638 426226 627276 639339 852452 1278678 2557356 2770469 5540938 8311407 11081876 16622814 33245628