Search a number
-
+
33097820 = 2257594007
BaseRepresentation
bin111111001000…
…0100001011100
32022021112200012
41332100201130
531433112240
63141222352
7551220050
oct176204134
968245605
1033097820
1117756978
12b1019b8
136b1b012
144577c60
152d8bb65
hex1f9085c

33097820 has 48 divisors (see below), whose sum is σ = 80801280. Its totient is φ = 11152704.

The previous prime is 33097789. The next prime is 33097847. The reversal of 33097820 is 2879033.

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, 6257 + ... + 10263.

It is an arithmetic number, because the mean of its divisors is an integer number (1683360).

Almost surely, 233097820 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 33097820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40400640).

33097820 is an abundant number, since it is smaller than the sum of its proper divisors (47703460).

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

33097820 is a wasteful number, since it uses less digits than its factorization.

33097820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4082 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 33097820 is about 5753.0704845326. The cubic root of 33097820 is about 321.0700506728.

The spelling of 33097820 in words is "thirty-three million, ninety-seven thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 4007 4130 8014 8260 16028 20035 28049 40070 56098 80140 112196 140245 236413 280490 472826 560980 945652 1182065 1654891 2364130 3309782 4728260 6619564 8274455 16548910 33097820