Search a number
-
+
33250368 = 2631761167
BaseRepresentation
bin111111011010…
…1110001000000
32022120021221010
41332311301000
532003002433
63144400520
7552423564
oct176656100
968507833
1033250368
1117850548
12b176140
136b72598
1445b76a4
152dbbe63
hex1fb5c40

33250368 has 112 divisors (see below), whose sum is σ = 95243904. Its totient is φ = 10199040.

The previous prime is 33250367. The next prime is 33250369. The reversal of 33250368 is 86305233.

It is an interprime number because it is at equal distance from previous prime (33250367) and next prime (33250369).

It is a super-2 number, since 2×332503682 = 2211173944270848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33250367) 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 15 ways as a sum of consecutive naturals, for example, 199021 + ... + 199187.

It is an arithmetic number, because the mean of its divisors is an integer number (850392).

Almost surely, 233250368 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 33250368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47621952).

33250368 is an abundant number, since it is smaller than the sum of its proper divisors (61993536).

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

33250368 is a wasteful number, since it uses less digits than its factorization.

33250368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 33250368 is about 5766.3132068940. The cubic root of 33250368 is about 321.5625658763.

The spelling of 33250368 in words is "thirty-three million, two hundred fifty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 61 64 68 96 102 122 136 167 183 192 204 244 272 334 366 408 488 501 544 668 732 816 976 1002 1037 1088 1336 1464 1632 1952 2004 2074 2672 2839 2928 3111 3264 3904 4008 4148 5344 5678 5856 6222 8016 8296 8517 10187 10688 11356 11712 12444 16032 16592 17034 20374 22712 24888 30561 32064 33184 34068 40748 45424 49776 61122 66368 68136 81496 90848 99552 122244 136272 162992 173179 181696 199104 244488 272544 325984 346358 488976 519537 545088 651968 692716 977952 1039074 1385432 1955904 2078148 2770864 4156296 5541728 8312592 11083456 16625184 33250368