Search a number
-
+
33026427 = 3371719541
BaseRepresentation
bin111110111111…
…1000101111011
32022010220202000
41331333011323
531423321202
63135512043
7550501650
oct175770573
968126660
1033026427
1117708275
12b088623
136ac4685
144559c27
152d7591c
hex1f7f17b

33026427 has 64 divisors (see below), whose sum is σ = 62438400. Its totient is φ = 16796160.

The previous prime is 33026423. The next prime is 33026429. The reversal of 33026427 is 72462033.

It is not a de Polignac number, because 33026427 - 22 = 33026423 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 33026427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33026423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60777 + ... + 61317.

It is an arithmetic number, because the mean of its divisors is an integer number (975600).

Almost surely, 233026427 is an apocalyptic number.

33026427 is a deficient number, since it is larger than the sum of its proper divisors (29411973).

33026427 is a wasteful number, since it uses less digits than its factorization.

33026427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 33026427 is about 5746.8623613238. The cubic root of 33026427 is about 320.8390318809.

The spelling of 33026427 in words is "thirty-three million, twenty-six thousand, four hundred twenty-seven".

Divisors: 1 3 7 9 17 19 21 27 51 57 63 119 133 153 171 189 323 357 399 459 513 541 969 1071 1197 1623 2261 2907 3213 3591 3787 4869 6783 8721 9197 10279 11361 14607 20349 27591 30837 34083 61047 64379 71953 82773 92511 102249 174743 193137 215859 248319 277533 524229 579411 647577 1223201 1572687 1738233 1942731 3669603 4718061 11008809 33026427