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33290796 = 22372115147
BaseRepresentation
bin111111011111…
…1101000101100
32022122100101110
41332333220230
532010301141
63145312020
7552652500
oct176775054
968570343
1033290796
1117878960
12b195610
136b87ac6
1445c8300
152dc8e16
hex1fbfa2c

33290796 has 72 divisors (see below), whose sum is σ = 98594496. Its totient is φ = 8645280.

The previous prime is 33290783. The next prime is 33290797. The reversal of 33290796 is 69709233.

It is a super-2 number, since 2×332907962 = 2216554196627232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33290797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3895 + ... + 9041.

It is an arithmetic number, because the mean of its divisors is an integer number (1369368).

Almost surely, 233290796 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 33290796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49297248).

33290796 is an abundant number, since it is smaller than the sum of its proper divisors (65303700).

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

33290796 is a wasteful number, since it uses less digits than its factorization.

33290796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 33290796 is about 5769.8176747623. The cubic root of 33290796 is about 321.6928387819.

The spelling of 33290796 in words is "thirty-three million, two hundred ninety thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 5147 6468 10294 15441 20588 30882 36029 56617 61764 72058 108087 113234 144116 169851 216174 226468 252203 339702 396319 432348 504406 679404 756609 792638 1008812 1188957 1513218 1585276 2377914 2774233 3026436 4755828 5548466 8322699 11096932 16645398 33290796