Search a number
-
+
33799540 = 2252776101
BaseRepresentation
bin1000000011101…
…1110101110100
32100121012020211
42000323311310
532123041130
63204235204
7560201635
oct200736564
970535224
1033799540
1118096105
12b39bb04
137005538
1446bb88c
152e79a2a
hex203bd74

33799540 has 24 divisors (see below), whose sum is σ = 71246952. Its totient is φ = 13468800.

The previous prime is 33799501. The next prime is 33799541. The reversal of 33799540 is 4599733.

33799540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1468944 + 32330596 = 1212^2 + 5686^2 .

It is a super-2 number, since 2×337995402 = 2284817808423200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33799493 and 33799502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33799541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2490 + ... + 8590.

It is an arithmetic number, because the mean of its divisors is an integer number (2968623).

Almost surely, 233799540 is an apocalyptic number.

It is an amenable number.

33799540 is an abundant number, since it is smaller than the sum of its proper divisors (37447412).

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

33799540 is a wasteful number, since it uses less digits than its factorization.

33799540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6387 (or 6385 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 40.

The square root of 33799540 is about 5813.7371801622. The cubic root of 33799540 is about 323.3232457499.

The spelling of 33799540 in words is "thirty-three million, seven hundred ninety-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 277 554 1108 1385 2770 5540 6101 12202 24404 30505 61010 122020 1689977 3379954 6759908 8449885 16899770 33799540