Search a number
-
+
33242913 = 33111943137
BaseRepresentation
bin111111011001…
…1111100100001
32022112220201000
41332303330201
532002233123
63144302213
7552363054
oct176637441
968486630
1033242913
1117845990
12b171969
136b6c082
1445b4a9b
152db9b43
hex1fb3f21

33242913 has 64 divisors (see below), whose sum is σ = 58291200. Its totient is φ = 18506880.

The previous prime is 33242897. The next prime is 33242933. The reversal of 33242913 is 31924233.

It is a happy number.

It is not a de Polignac number, because 33242913 - 24 = 33242897 is a prime.

It is a super-2 number, since 2×332429132 = 2210182529451138, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (33242933) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 242581 + ... + 242717.

It is an arithmetic number, because the mean of its divisors is an integer number (910800).

Almost surely, 233242913 is an apocalyptic number.

33242913 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33242913 is a deficient number, since it is larger than the sum of its proper divisors (25048287).

33242913 is a wasteful number, since it uses less digits than its factorization.

33242913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 33242913 is about 5765.6667437513. Note that the first 3 decimals coincide. The cubic root of 33242913 is about 321.5385317752.

The spelling of 33242913 in words is "thirty-three million, two hundred forty-two thousand, nine hundred thirteen".

Divisors: 1 3 9 11 19 27 33 43 57 99 129 137 171 209 297 387 411 473 513 627 817 1161 1233 1419 1507 1881 2451 2603 3699 4257 4521 5643 5891 7353 7809 8987 12771 13563 17673 22059 23427 26961 28633 40689 53019 64801 70281 80883 85899 111929 159057 194403 242649 257697 335787 583209 773091 1007361 1231219 1749627 3022083 3693657 11080971 33242913