Search a number
-
+
29494014 = 23111797271
BaseRepresentation
bin111000010000…
…0101011111110
32001111110011220
41300200223332
530022302024
62532054210
7505460244
oct160405376
961443156
1029494014
1115715320
129a64366
1361588a4
143cba794
1528c8e79
hex1c20afe

29494014 has 64 divisors (see below), whose sum is σ = 69092352. Its totient is φ = 8294400.

The previous prime is 29494007. The next prime is 29494019. The reversal of 29494014 is 41049492.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29494019) 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 31 ways as a sum of consecutive naturals, for example, 108699 + ... + 108969.

It is an arithmetic number, because the mean of its divisors is an integer number (1079568).

Almost surely, 229494014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29494014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34546176).

29494014 is an abundant number, since it is smaller than the sum of its proper divisors (39598338).

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

29494014 is a wasteful number, since it uses less digits than its factorization.

29494014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 29494014 is about 5430.8391616766. The cubic root of 29494014 is about 308.9664294653.

The spelling of 29494014 in words is "twenty-nine million, four hundred ninety-four thousand, fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 97 102 187 194 271 291 374 542 561 582 813 1067 1122 1626 1649 2134 2981 3201 3298 4607 4947 5962 6402 8943 9214 9894 13821 17886 18139 26287 27642 36278 50677 52574 54417 78861 101354 108834 152031 157722 289157 304062 446879 578314 867471 893758 1340637 1734942 2681274 4915669 9831338 14747007 29494014