Search a number
-
+
33620028 = 22313613533
BaseRepresentation
bin1000000001000…
…0000000111100
32100021002000020
42000100000330
532101320103
63200332140
7555523401
oct200200074
970232006
1033620028
1117a83252
12b314050
136c71910
1446722a8
152e41753
hex201003c

33620028 has 48 divisors (see below), whose sum is σ = 85890336. Its totient is φ = 10172160.

The previous prime is 33620003. The next prime is 33620039. The reversal of 33620028 is 82002633.

It is a super-2 number, since 2×336200282 = 2260612565441568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7750 + ... + 11282.

It is an arithmetic number, because the mean of its divisors is an integer number (1789382).

Almost surely, 233620028 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 33620028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42945168).

33620028 is an abundant number, since it is smaller than the sum of its proper divisors (52270308).

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

33620028 is a wasteful number, since it uses less digits than its factorization.

33620028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 33620028 is about 5798.2780202401. The cubic root of 33620028 is about 322.7498310514.

The spelling of 33620028 in words is "thirty-three million, six hundred twenty thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 366 732 793 1586 2379 3172 3533 4758 7066 9516 10599 14132 21198 42396 45929 91858 137787 183716 215513 275574 431026 551148 646539 862052 1293078 2586156 2801669 5603338 8405007 11206676 16810014 33620028